2x + y=10
3x - 2y = 1

Answers

Answer 1
Solve
2x+y=10 for y:
2x+y=10

2x+y+−2x=10+−2x
(Add -2x to both sides)
y=−2x+10

Step: Substitute−
2x+10 for y in 3x−2y=1:
3x−2y=1
3x−2(−2x+10)=1
7x−20=1
(Simplify both sides of the equation)
7x−20+20=1+20
(Add 20 to both sides)
7x=21
7x=21
_ _
7 7
(Divide both sides by 7)
x=3

Step: Substitute
3 for x in y=−2x+10:
y=−2x+10
y=(-2)(3)+10
y=4
(Simplify both sides of the equation)

Answer:x=3 and y=4

Related Questions

Solve for x. (6x+24) (12x-30)

Answers

Answer:

x+8=5

Step-by-step explanation:

53y+52=5 13−3x6=−16x+8=5

On a farm, a cow eats about 24 pounds of hay per day. If hay costs $1.55 per pound, how much does it cost to feed a cow each day?

Answers

Answer:

$37.20 per day

Step-by-step explanation:

Since $1.55 is the amount per pound you would multiply 1.55 x 24 to get 37.5 and since it is money you would add a zero at the end, it would look like so,

$37.20

Hope that helps and have a great day!

Answer:37.2

Step-by-step explanation:

so first you do 24 since its the pounds and since that's for a whole day so if you do a 24 times 1.55 which is 37.2 i hope this helps and can i get the brainiest

Determine if (4, -5) is a solution of the equation y=12x−7. Explain how you made your decision.

Answers

Plug x=4 in the equation: 12(4)-7, we get y value 41, which is not equal to -5. So (4,-5) is NOT a solution.

help please and thank you

Answers

Answer:<

Step-by-step explanation:the square root of 11 is 3.3 and that is less than 4

Answer:

<

Step-by-step explanation:

We can solve this easily by simply converting 4 to the root of its square. 4 squared is 16, and root 16 gives back 4 so the value remains the same.

[tex]4 = \sqrt{16 } \\ [/tex]

Now, we can compare the two values. As 11<16, the same will hold true for its square roots.

So your final answer would be <.

Hope this helps! :D

write this number in standard notation


Answers

when the exponent is negative, you move the decimal to the left (and move it to the right with a positive number)

5.87 would be 0.00587 :)

Jada and Noah went to dinner. They added up the prices listed on the menu for everything they ordered and got a subtotal of $54. When they got their check, Noah realized that the tax was not figured in. If the tax rate is 7.5%, what is their new total?

Answers

Answer:

$58.05

Step-by-step explanation:

[tex] \frac{7.5}{100} \times 54 = 4.05[/tex]

[tex]54 + 4.05 = 58.05[/tex]

i think this is the answer

Answer:

$58.05

Step-by-step explanation:

0.444444444444 as fraction​

Answers

Answer:

The answer you are looking for is 2/5

10x+28−3x=7x+38 Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

Answers

Answer:

No solution

Step-by-step explanation:

First we have to solve the equation;

10x + 28 - 3x = 7x + 38

Collect like terms;

7x + 28 = 7x + 38

Subtract 7x from both sides;

28 ≠ 38

No solution, because the number does not equal each other.

Find the distance from pint A(-6,4) To the equation y=1/3x-4

Answers

21.8 should be the answer

HELP QUICKLY!!! HELP QUICKLY!!!

When simplifying 5(−2)(9) − 3, a student first subtracted 3 from 9. Is this the correct first step? Explain.

Answers

Answer:

No, you should multiply first.

Step-by-step explanation:

Use PEMDAS. It means parenthesis, exponents, multiplication and division (left to right), and addition and subtraction (left to right). You should multiply 5*-2, then that product *9, then subtract 3. Hope this helps! :)

Identify the slope and y-intercept of the line. Then write the equation in slope form.

Answers

Slope: -4
Y-int: 1
Equation: -4x+1

Answer:

The slope is -4, and the y-intercept is 1. The equation is y=-4x+1.

Step-by-step explanation:

To find slope use this equation:

(y2-y1)/(x2-x1)= slope (m)

And the y-intercept is b and you can find that just by looking at the graph.

4. Find a solution to the following system of equations.
-2x + 5y = 8
2x + 2y = 3
(0, 3)
(2, 1)
(1,2)
(-2, 1)

Answers

Answer:

Step-by-step explanation:

[tex]\begin{bmatrix}-2x+5y=8\\ 2x+2y=3\end{bmatrix}\\\\2x+2y=3\\+\\\underline{-2x+5y=8}\\7y=11\\\\\begin{bmatrix}-2x+5y=8\\ 7y=11\end{bmatrix}\\\\Solve\:7y=11\:for\:y\: \:, y= \frac{11}{7} \\\\\mathrm{For\:}-2x+5y=8\mathrm{\:plug\:in\:}y=\frac{11}{7}\\\\Solve\:-2x+5 \frac{11}{7}=8\:for\:x\:,x= -\frac{1}{14}\\\\x=-\frac{1}{14},\:y=\frac{11}{7}[/tex]

1.
Bill has
WIN
of his pizza left from lunch. If he eats
7
more of the pizza, how much pizza is left pls answer I need help

Answers

Answer:

Option D) 5/21 pizza is left.

Step-by-step explanation:

Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of pizza then we have calculate the pizza left.

Let the size of a pizza is x. Now 2x/3 pizza is left with Bill after lunch.

Therefore pizza eaten by Bill = x - 2x/3 = x/3

Now Bill eats 3/7 more of pizza has been eaten by Bill.Therefore total pizza left is

x - x/3 - 3x/7 = x(1 - 1/3 - 3/7) = x( 21 - 7 - 9)/21 = 5x/21

So 5/21 part of pizza is left.

Nicole has a bracelet with red beads and blue beads. The ratio of red beads to blue beads is 2 : 12.
Which statement is true of Nicole's bracelet?

There are 6 times as many red beads as blue beads.

There are 6 times as many blue beads as red beads.

There are 10 times as many red beads as blue beads.

There are 10 times as many blue beads as red beads.
I need the answer in 10 minutes hurry!!

Answers

Answer:

There are 6 times as many blue beads as red beads.

Step-by-step explanation:

blue beads (2) times six is 12 (red beads)

Use the following information to complete parts I, II and III.
1 hour = 3,600 seconds
1 year = 31,556,952 seconds
Part I: Use scientific notation to estimate the number of hours in one year.
Part II: Use scientific notation to calculate the exact number of hours in one year.
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.

Answers

Answer:

Part I: Use scientific notation to estimate the number of hours in one year

Using the conversion factors

Estimate using scientific notation

31,556,952 seconds = 3.2 *  10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.2 *  10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.2 /3.6 =.88888 (repeating)    

10^7 / 10^2 = 10^5

8.88888 * 10 ^5

8.888 * 10 ^4 hours

Part II: Use scientific notation to calculate the exact number of hours in one year.

31,556,952 seconds = 3.1556952 *  10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.1556952 *  10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.1556952 /3.6 =.876582    

10^7 / 10^2 = 10^5

.876582 * 10 ^5      

8.76582*10^4 hours

Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.

Part II is an exact answer, where Part I is an estimate.  Both Parts give values in the thousands of hours,  and are both  between 8700 and 8900 hours.  Part I can be done without a calculator where Part II is much harder to do without a calculator.

Step-by-step explanation:

11. Beth wants to join the Movie Club. There is a $30 startup fee and a $4 monthly fee. Which of
the following represent the input, output, and appropriate fugestion for this scenario?
Circle the correct answer
A. Input: the total cost, Output: the starting cost, Function: Clx)= 30x + 4
B. Input: the total cost, Output: the number of months, Function: C(x) = 30x + 4
C. Input: each month, Output: the total cost, Function: C(x) = 4x + 30
D. Input: each month, Output: the starting cost, Function: C(x) = 4x + 30
O
UE
at
de

Answers

Answer:

B

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is 2x+y=6. Fully reduce your answer

Answers

Answer:

The slope would be -2.

2X +y =6
Can be written in the form y=Mx + c
Y= -2x +6
M= -2
For perpendicular lines
M1* m2= -1
Meaning slope is equal to 1/2

Which step should they take next to find a meeting place that is the same distance from each person's house? Find the midpoint of the segments which connect their houses. Bisect each of the angles with vertices at their houses. Draw perpendicular lines through any point on the segments which connect their houses. Draw perpendicular line segments from each vertex to the opposite side.

Answers

Answer:

A. Find the midpoint of the segments which connect their houses.

Step-by-step explanation:

correct on edge 2020.

Answer:

Find the midpoint of the segments which connect their houses.

Step-by-step explanation:

If you find the midpoint between all of their houses, then that midpoint represents where they will meet up. And that is indeed what you are trying to find, you are trying to find.. the midpoint.

Therefore A is the correct answer.

(also verified on edge)

Hope this helps! :)

A family is saving up for a house payment. If they deposit $400 each month into an account that pays 4.8%intrest compounded monthly how much money will they have in 8 years from now

Answers

Answer:

44,956

Step-by-step explanation:

Future value

A family is saving up for a house payment. If they deposit $400 each month into an account that pays 4.8% interest compounded monthly how much money will they have in 8 years from now

The formula =

P = d( (1 + r/k)^nk - 1)/r/k

d = Amount deposited monthly = $400

r = interest rate = 4.8% = 0.048

k = compounding frequency = 12 months

n = number of years = 8

P = 400((1 + 0.048/12)^8 × 12 - 1)/0.048/12

P = (400 ( 1 + 0.004)^96 - 1)/0.004

P = (400 ( 1.4495569791 - 1)/0.004

P = 40(0.4495569791)/0.004

P = 179.82279162/0.004

P = 44955.697906

Approximately

P = 44,956

HELP PLEASE HURRY CLICK ON ME-

Answers

Answer:

G'(6,-7)

H'(6, -4)

I'(1, -7)

Step-by-step explanation:

Translations(a)

G(-1, 6)->(6,1)

H(-1,3)->(6,-2)

I(-6,6)->(1,1)

Reflection(b)

G(6,1)->(6,-7)

H(6,-2)->(6,-4)

I(1,1)->(1,-7)

John lost 1.44 after a week of exercise. One kilogram is equal to approximately 2.2 pounds. Which measurement is closest to the number of pounds that john lost?

Answers

Given :

John lost 1.44 kg after a week of exercise.

One kilogram is equal to approximately 2.2 pounds.

To Find :

Which measurement is closest to the number of pounds that john lost.

Solution :

1 kg = 2.2 pounds .

Let, John lost x pounds.

x = 2.2 × 1.44 pounds

x = 3.168 pounds

Therefore, the number of pounds that john lost is 3.168 .

Hence, this is the required solution.

Given :

John lost 1.44 kg after a week of exercise.

One kilogram is equal to approximately 2.2 pounds.

To Find :

Which measurement is closest to the number of pounds that john lost.

Solution :

1 kg = 2.2 pounds .

Let, John lost x pounds.

x = 2.2 × 1.44 pounds

x = 3.168 pounds

Therefore, the number of pounds that john lost is 3.168 .

Hence, this is the required solution.

Evaluate the following expression if w = 10, x = 8, y = 6, z = 4
3z to the power of 2 minus 20

Answers

Answer:

28

Step-by-step explanation:

3z^2 - 20

substitute z for 4 (given)

3*4^2 - 20

3*16 - 20

48 - 20

28

somebody help me :(​

Answers

X= 20
S= 31
T= 82
U= 67

U = 180 - 113

67 + (2x - 9) + (4x + 2) = 180

6x + 60 = 180

6x = 120

X = 20

Sub 20 for x in equations

S = 2(20) -9 = 31

T = 4(20) + 2 = 82

31 + 82 + 67 = 180

Kevin was accepted to college and is making plans for next year's budget. He anticipates getting a part-time job and making about $80 a week. In addition, his federal grants will be about $3,000 per semester. What is his income expected to be during the 36-week school year?

Answers

Answer:

Kevin's income is expected to be:

$8,880.

Step-by-step explanation:

Income from part-time job = $80 a week

For 36 weeks, he will earn $2,880 ($80 * 36)

Federal grants = $3,000 per semester

For semesters = $6,000 ($3,000 * 2)

Total income = income from part-time job plus the Federal grants

= $8,880 ($2,880 + $6,000)

The implication is that Kevin cannot spend above $8,880 towards his college education, unless he has another source of support during the year.  Otherwise, he may resort to borrowing, via college loans.

-1/2 divided by what = -7/3

Answers

3/14

yan na yung answer sana maka tulong

Answer:

(3/14)

Step-by-step explanation:

(-1/2)/x = (-7/3)

(-1/2) = (-7/3)x

(-3/6) = (-14/6)x

(-3/6) = (-14/6)(3/14)

(-3/6) = (-42/84)

(-1/2) = (-1/2)

(-1/2)/x = (-7/3)

(-1/2)/(3/14) = (-7/3)

(-1/2) x (14/3) = (-7/3)

(-14/6) = (-7/3)

(-7/3) = (-7/3)

What is the slope and y-intercept in the following equation? 15x - 3y = 21​

Answers

Answer:

Slope: 5

Y-Intercept: -7

y= -2/5X - 2

slope=

y-intercept=

Answers

9514 1404 393

Answer:

slope = -2/5y-intercept = -2

Step-by-step explanation:

Compare your equation ...

  y = (-2/5)x +(-2)

to the slope-intercept form ...

  y = mx + b . . . . where m is the slope and b is the y-intercept.

Matching these patterns, you should be able to see that ...

  m = -2/5 = slope

  b = -2 = y-intercept

6+(-5)+7-1
A. 9
B. 7
Which one? ​

Answers

Answer: B

Explanation:

Question 3 If AD = 5x +3, DC=2x + 4,AB=15, and BC=12, find the value of AD.​

Answers

Answer:

ad =4

Step-by-step explanation:

The average of Landry’s test scores must be at least 92 for her to make an A in Algebra class. She got a 95 on her first test. What grade can Landry get on her second test to make an A in the class?

Answers

Average is determined by the sum of test scores divided by total number of tests. This can be represented in this equation:

95 + X / 2 = 92 ⇒ Multiply both sides by 2 to get of the divided by 2

95 + X /2 (2) = 92 (2)

95 + X = 184 ⇒ Subtract 95 from both sides to isolate x

95 -95 + X = 184 -95

X = 89

Therefore, they must get at least 89% to maintain an A.

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