Solve the system of equations -8x-6y=58 and x-y=9

Answers

Answer 1

Answer:

[tex](-\frac{2}{7},-\frac{65}{7} )[/tex]

Step-by-step explanation:

By steps in the image:

Step 1:

To eliminate, you need one of the coefficients to be the same in both equations. We will use the term "-6x" found in the first equation.

To get this, multiply the entire second equation by 6 and simplify using the distributive property. The new equation is:

[tex]6x-6y=54[/tex]

Step 2:

Now you need to subtract the first equation and the new version of the second equation. By doing this, the "-6x" in both equations will cancel each other out.

Step 3:

Solve for x in the given equation by:

Dividing both sides by -14Simplify the value of x by dividing top and bottom by 2

Step 4:

Solve for y by:

Substitute the value of x into the second equationMultiply both sides of the equation by 7Add 2 to both sides of the equationDivide both sides of the equation by -7

Solution:

[tex](-\frac{2}{7},-\frac{65}{7} )[/tex]

:Done

Solve The System Of Equations -8x-6y=58 And X-y=9

Related Questions

Which is the answer to it

Answers

Answer:

um we cant hear the sound part so

Step-by-step explanation:

April drove 168 miles and used 6 gallons of gas. At this rate how
far can she drive on a full tank of gas that holds 15 gallons of gas?

Answers

April would be able to drive 420 miles

The point J(-2, 3) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, J′?

Answers

Answer:

J' (3, 2)

Step-by-step explanation:

when a point is rotated 90 degrees clockwise, the point goes from (x, y) to (y, -x). You can imagine this rule or come up with it by doing a rotation on a graph, but really it's just a rule you should memorize.

So, apply (x, y) --> (y, -x) to this point:

(-2, 3) --> (3, 2)

J' (3, 2)

Answer:

J' (3, 2)

Step-by-step explanation:

edg 2020

Explain how an enlargement or a reduction In the dimensions of a building would cause a change in the scale factor

Answers

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Hope it helps XD

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

the quotient of 17 minus 12 and 2
Find the expression

Answers

Standered form: 2/(17-12)

Answer: 0.4

I hope this helped :)

At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicatos a dollar amount that will be subtracted from your total bill, A bag of 10 fortune cookies is given to you from which you will select one. If seven fortune cookies contain "$1 off," two contain "$2 off," and one contains "$6 off," determine the expectation of a selection.

Answers

Answer:

We can expect $1.7 off

Step-by-step explanation:

We are given 10 fortune cookies out of which

$1 off  = 7 cookies

$2 off = 2 cookies

$6 off = 1 cookie

Probability

A = drawing $1 off cookies    P(A) = 7/10

B= drawing $2 off cookies    P(B)  = 2/10

C= drawing $6 off cookie      P(B)  = 1/10

Expectation = 1*7/10 + 2*2/10+ 6*1/10

                    = 7/10  +   4/10  + 6/10

                    =  17/10 = $1.7 off

A city has 9,322 recycle bins. The city glves half of the recycle bins to its citizens. The rest of the recycle bins are divided into 28 equal groups for city parks. How many recycle blns are left over?​

Answers

Answer:

24 trash cans remaining.

Step-by-step explanation:

9322 / .5 = 18644

18644/28 groups is 665 r 24

A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?

Answers

8 tablespoons. hope this helped

Josh emptied his piggy bank and made n stacks of 25 nickels. He already had 37 nickels. Now, he has 187 nickels. How many stacks of nickels did Josh make in all?

Answers

Answer:

249

Step-by-step explanation:

25+37+187=249

What value of x makes this equation true (correct)?

12 x - 15 = 6 - 3 x

Answers

Answer:

x=1.4

Step-by-step explanation:

12x-15=6-3x

15x=21

x=21/15

x=1.4

12(1.4)-15=6-3(1.4)

16.8-15=6.4.2

1.8=1.8

Please help! will make brainliest and answer any question in return!!!!




Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer:y = -2/3x + 490

Step-by-step explanation:

2x +3y = 1470  

Slope intercept form definition: y = mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.  

2x + 3y = 1470  

2x + 3y -2x = 1470 - 2x - Subtract 2x from both sides  

3y = 1470 - 2x - Simplify  

3y/3 = 1470/3 - 2x/3 - Divide both sides by 3  

y = -2/3x + 490 - Simplify  

-⅔ is the slope and 490 is the y-intercept

Step-by-step explanation:

Answer:

bknln

Step-by-step explanation:

Find the next three terms of the geometric sequence whose first term is -2 and common ratio equal to -1.

Answers

-2, 2, -2, 2 etc.
Hope this helps :)

The answer ASAP please

Answers

-20/27

Step-by-step explanation:

Multiply the top denominators

-8•5= -40

Multiply the bottom denominators

9•6=54

So 40/54

Now simplify

-40/54 ÷ 2= -20/27

HELPPP Please!!!!!!!

Answers

Answer:

subtract 140 from 166

Step-by-step explanation:

Can someone please help me? (You will get brainlest and 18 points)

Answers

Answer:

4 and, 5 conclusion, 6 conjecture, 8 Conditional statement, 10 hypotheses,

11 contrapositive, 12 counterexample,

the rest i dont know srry

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement. 6 + (–8) Which statement could describe Ahmed’s movement?

Given the expression

6+(-8)

Let's denote upward movement in the elevator as positive and downward movement as negative.

+6 means that Ahmed rides 6 floors above in the elevator (since +be means upward movement in the elevator)

-8 means that from that 6th floor, he then moves 8 floors downwards in the elevator. In other to determine the floor Ahmed is, we can evaluate the given expression:

= 6+(-8)

Note that -×+ = -, hence the expression becomes;

= 6-8

= -8+6

= -2

This means that Ahmed is 2 floor below or down the elevator.

Answer: He moved 6 floors up, then moved 8 floors down. So he is now 2 floors below ground level.

I hope this helps.

WILL GIVE BRAINLIEST
Starfire wanted to buy a new outfit for the big dance. When she went to the store to purchase the dress, it was tagged $35. How much would Starfire have to pay for tax, if sales tax is 9%?
(Please also show work!)

Answers

Answer:

$3.15

Step-by-step explanation:

For this, "x" is a multiplication symbol

Option 1: 35x1.09=38.15  (the 1.09 is how u calculate tax btw)

then 38.15-35=3.15

OR

A simpler way:

Option 2: 35x9%    (or 35x.09) however u want to put it)

=3.15

10. Which of the following sets of numbers represents a Pythagorean
Triple?
A {10, 5, 12}
B {2,4,5)
C {1,2,3}
D {14, 48, 50 }

Answers

Answer:

D

Step-by-step explanation:

Trust me I used a calculator and and different one to make sure my answer was correct.

{14, 48, 50} represents a Pythagorean Triple, hence option (D) is correct.

If three sides of any triangle are a, b and c and c is the largest one then the condition that a, b and c will form a Pythagorean triplet is as:

c² = a² + b²  -----(1)

An option which will satisfy the condition (1) will form a  Pythagorean Triple.

Let's check for all the given options:

A) {10,5,12}

Since, 12 is the largest number out of three.

Therefore, c = 12, a = 5, b = 10

Now,

a² + b²  = 5²+10²

a² + b² = 25+100

a² + b² = 125

a² + b²≠ 15²

a² + b²≠ c²

Hence,  {10, 5, 12} will not form a Pythagorean Triple. Option (A) is incorrect.

B) {2,4,5)

c = 5, a = 2, b =4

a² + b² = 2²+4²

a² + b²  = 4+16

a² + b² = 20

a² + b² ≠ 5²

Hence, option (B) is also incorrect.

(C)  {1,2,3}

c = 3, a = 1, b = 2

a² + b² = 1²+2²

a² + b² = 1+4

a² + b²= 5

a² + b² ≠ c²

This is also not forming a  Pythagorean Triple, that is why incorrect.

(D) {14, 48, 50}

c = 50, a = 14, b = 48

a² + b² = (14)²+(48)²

a² + b² = 196 +2304

a² + b²  = 2500

a² + b²  = (50)²

a² + b²  = c²

This satisfies the condition (1) hence, it is forming a Pythagorean Triple.

This option is an  appropriate choice.

Hence, option (D) is correct, that means {14, 48, 50} represents a Pythagorean Triple.

Learn more about Pythagorean Triple here:

https://brainly.com/question/31900595

#SPJ6

Divide the following numbers. 56 ÷ (-8) =

Answers

Answer: -7

Step-by-step explanation: Hopefully this helps have a blessed day!

Answer:

The answer is -7

Step-by-step explanation:

help with this .. will mark brainliest

Answers

Answer:

B x= -9

Step-by-step explanation:

if you graph x equals negative 9 you always have a vertical line

Answer: b) x = -9

a) gives you a diagonal line when you graph it

b) gives you a vertical line since you only have the x-value, and it passes through the point (-9,10) when you graph it

c) gives you a horizontal line when you graph it since you only have the y-value

You create 15 centerpieces for a party in 5 hours.
A. What is the unit rate?


B. How long will it take you to make 42 centerpiece?

Please please help!

Answers

Answer:

Step-by-step explanation:

you create 15 per 5 hours.  or 15 centerpieces/5 hours or 3 centerpieces per hour.  To make 42, if you make 3 per hour, you would divide 42 by 3, getting 14.  It will take 14 hours to make 42 centerpieces.

Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamal pay?
A. 4.0%
B. 4.1%
C. 4.2%
D. 4.3%

Answers

Answer: b 4.1%

Step-by-step explanation:

B. 4.1%. ...................

in a drug trial 25 participants had side affects on day 10 and 40 participants had side effects on day 30

Answers

Answer:

dang that looks hard

Step-by-step explanation:

The width of a rectangle is 3 less than twice the length, x. If the perimeter of the rectangle is 43 feet, find the dimensions.

Answers

Answer:

Step-by-step explanation:

we're given that

[tex]W = 2X - 3\\P = 43\\[/tex]

the perimeter can be defined as

[tex]P = 2X + 2W \\so\\43 = 2X + 2(2X - 3)\\43 = 2X + 4X - 6\\6X = 49\\X = \frac{49}{6}\\ W = 2X - 3\\W = 2(49/6) - 3\\W = 49/3 - 9/3 = \frac{40}{3}[/tex]

The rectangle is

[tex]\frac{49}{6} by \frac{40}{3}[/tex] feet

find the value of xxxxxxxxxxxxxxxxxxxx

Answers

Answer:

-7

Step-by-step explanation:

105=x+112

105-112=-7

What is the slope of the line -3x + 7y = 11

Answers

Answer:3/7
Y-intercept: (0,11/7)

Answer: m= 3/7

Step-by-step explanation: in y=mx+b form this equation is y=3/7 x + 11/7

Ryan won 123 pieces of
gum playing horseshoes
at the county fair. At
school he gave four to
every student in his math
class. He only has 3
remaining. How many
students are in his class?

Answers

Answer:

30

Step-by-step explanation:

Happy Halloween and hoped this helped!

Answer:

There are 30 students in his math class

Step-by-step explanation:

First you subtract the three from 123 because that three he still has. Then you take the 120 and divide it by four since thats how many pieces he gave each student. You are then left with 30 students.

rodrigo needs at least $560 to pay for his spring break expenses,and he is saving $25 from each of his weekly paychecks . how long will it be before he can pay for his trip?

Answers

Answer:

23 weeks

if he is saving 25 each week which is 7 days you multiply 25 x 23 = 575 and he will have a little extra money

Pls help will give brainliest

Answers

Answer:

15

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

204-108/17-9

96/8

12

x = the number of students in Janelle's math group.
3x + 5 = 23
Solve the equation to determine how many students are in Janelle's group?
X=

Answers

Answer: x = 6 or just 6

Step-by-step explanation: You do the opposite of addition, and subtract +5 and 23 to get 3x = 18, then you would divide 3x and 18 by 3 to get x = 6 or just 6.

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