What is the solution to this system of equations?

4x + 5y = 7

3x – 2y = –12



what is the solution

Answers

Answer 1
The solution is (-2,3)
See the image below to see the steps

Related Questions

y-8= - * - 4
y=-*
4
(3,-5)
no solution
an infinite number of solutions

Answers

Given:

The system of equation is

[tex]y-8=-\dfrac{1}{3}x-4[/tex]

[tex]y=-\dfrac{1}{3}x-4[/tex]

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

[tex]y-8=-\dfrac{1}{3}x-4[/tex]

[tex]y=-\dfrac{1}{3}x-4+8[/tex]

[tex]y=-\dfrac{1}{3}x+4[/tex]              ...(i)

Here, slope is [tex]-\dfrac{1}{3}[/tex] and y-intercept is 4.

The second equation is

[tex]y=-\dfrac{1}{3}x-4[/tex]              ...(i)

Here, slope is [tex]-\dfrac{1}{3}[/tex] and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

The measure of angle Y is 45°, and the measure of angle Z is 70°.
Z
W
Y
What is the measure of angle W?
25°
65°
1150
120°

Answers

Answer:

115 degrees

Step-by-step explanation:

We know that angle y is 45 degrees and angle z is 70 degrees so to find x, you do 180-45-70 to get 65 degrees.

Because W plus X has to equal 180 degrees, 180-65=115, so the answer is 115 degrees

Answer:

choice 3) W = 115 degrees

Step-by-step explanation:

all triangle interior angles add up to 180 degrees

180 = 45 + 70 + X

X = 65 degrees

Angle W is supplemental to angle X (angle W and angle X add up to 180 degrees.)

W = 180 - 65 = 115 degrees

Malaya is following this recipe for bread rolls.
She uses 400 g of flour.
How much of the other ingredients does she use?

Recipe: Makes 14 bread rolls
700 g flour
14 g salt
7 g yeast
35 mL oil
420 mL water

Answers

Answer:

Step-by-step explanation:

400/700 = 4/7

salt: 4/7 × 14 g = 8 g

yeast: 4/7 × 7 g = 4 g

oil: 4/7 × 35 mL = 20 mL

water: 4/7 × 420 mL = 240 mL

Jason has 1/3 of a liter of milk. Jason divides the milk equally into 4 mugs of tea.

How much milk will Jason have in each mug?

Answers

Answer:

1/12 l

Step-by-step explanation:

Amount of milk = 1/ 3 l

No: of mugs = 4

Amount in each mug =  1/3 ÷ 4 = 1/3 x 1/4 = 1/12 l  

(Hope its right!)

Answer:

They will have 1/12 of a liter of milk on each mug because you are dividing 1/3 into 4 so the denominator is multiplied by 4

Solve the simultaneous equations
2y - 5x = 9
4y + 3x = 5
Do not use trial and improvement

Answers

Answer:

y = 2, x = -1

Step-by-step explanation:

2y - 5x = 9

2y = 9+5x

y = (9+5x) /2

4y + 3x = 5

4((9+5x) /2) + 3x = 5

13x + 18 = 5

13x = -13

x = -1

y = (9+5x) /2

y = (9+5(-1)) /2

y = 2

Answer:

x = -1, y = 2

Step-by-step explanation:

2y - 5x = 9

4y + 3x = 5

eliminate one of the variables by multiplying the equations and then adding them together.

3(2y - 5x = 9)

5(4y + 3x = 5)

6y - 15x = 27

20y + 15x = 25

26y = 52

y = 2

now input the value of y into one of the original equations to find x.

8 + 3x = 5

8-5 = 3

x = -1

Cassie simplified the composed function f(x)= cot(arcsin x). Her work is shown below.
In which step did Cassie make her first error?

step 1
step 2
step 3
step 4
She didn't make any errors

Answers

Answer:

1. C

2. A

3. A

4. D

Step-by-step explanation:

Anyone know the answer to this?

Answers

first one is 114
second one is 215.2

let me know if this doesn’t work :)

What can be the equation for 2 2/5?

Answers

2+2=5 this should be the correct answer!

How do you make comparisons between an equation and a verbal description?

Answers

Answer:

equtions have mathematical signs and descritions are like riddles and you have to figure out the operation

Step-by-step explanation:

When The equations have mathematical signs and also descriptions are like riddles. Then we have to figure out the operation.

What are Equation and Verbal descriptions?

Equation                                                    Verbal description

                                                                                                                   

y =                                                                 T-shirts are being

1.25x                                                             sold in a store for

                                                                              $5.25 each.

A variable is a missive used to represent a value or unexplored quantity that can modify or vary in an expression or equation.

An utterance is a variety of variables, quantities, and mathematical functions; 4, 8 x, and b + 102 are all expressions.

An equation is an presentation set equal to another expression; a = 4, 1 + 23 = x + 9, and (2 + 3)1 = 2 c. are all equations. 1 3. 6. 1: Formation Processes from Context.

Find more information about Equation and Verbal descriptions here:

https://brainly.com/question/26579359

                                                                   

Complete the statement. Round to the nearest hundredth if necessary.
15 lb ≈ ? kg

Answers

Answer:

6.82 kg

Step-by-step explanation:

set up a proportion based on 2.2 lbs in 1 kg

2.2/1 = 15/x

cross-multiply:

2.2x = 15

x = 6.82

The value of 15 lb in kg is 6.81 kg.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We know that;

⇒ 1 lb = 0.454 kg

Hence, We get;

⇒ 1 lb = 0.454 kg

⇒ 15 lb = 15 × 0.454 kg

            = 6.81 kg

Thus, We get;

⇒ 15 lb = 6.81 kg

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Fill in the table using this function rule.
y = -3x+5

x:
-4
-2
0
2

Answers

Answer:

x=5/3 or 2

Step-by-step explanation:

x=2 :)) hope this helps

a) The term-to-term rule of a sequence is
MULTIPLY BY 2 and ADD 1
The sequence starts 5 11
Work out the next two terms of the sequence.
b) The term-to-term rule of another sequence is
MULTIPLY BY 2 and ADD 3
The third term of the sequence is 17
17
Work out the first term of the sequence.

Answers

Answer:

a) 5, 11, 23, 47

b) 2, 7, 17

Step-by-step explanation:

a) 5*2+1=11

11*2+1=23

23*2+1=47

b) 17-3 /2 = 7

7-3 /2 = 2

I NEED HELP ASAPPPP
In square YOLA , RL=5x+28 and RO=8x-11 find the measure of line segment RY

Answers

Answer:

RL=5x+28 and

RO=8X-11

diagonal of square bisect equally the side

:.5x+28=8x-11

11+28=8x-5x

39=3x

x=39/3=13

RY=RL=5x+28=5×13+28=93If the answer is 93, move to S

I need help with this please.

Answers

Hope this helps and hope u can see it

A game is considered "fair" if the player can expect to win $0.
Which is a fair game?
A Game A
cost to play: $1
prize: $5
probability of winning: 0.2
Game C
cost to play: $3
prize: $20
probability of winning: 0.1
B Game B
cost to play: $2
prize: $10
probability of winning: 0.3
Game D
cost to play: $4
prize: $10
probability of winning: 0.5

Answers

Answer:

eeuu

Step-by-step explanation:

dijud

cost to play: $4

prize: $10

probability of winning: 0.5

Step-by-step explanation:

what is 150 times 100

Answers

Answer:

100×150

it's the answer

54x+34y=
solve the prob pls

Answers

Answer:

Factor  

2  out of  54 x + 34 y

2 ( 27 x + 17 y )

Step-by-step explanation:

What type of triangle has exactly 2 equal sides and one right angle?
isosceles triangle
right isosceles triangle
obtuse isosceles
right triangle

Answers

Answer:

Right isosceles triangle

Step-by-step explanation:

I took the quiz and got it wrong, but it told me the correct answer

A right isosceles triangle has exactly 2 equal sides and one right angle.

Given that, a triangle has exactly 2 equal sides and one right angle.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Right isosceles triangle: An isosceles right triangle is defined as a right-angled triangle with an equal base and height which are also known as the legs of the triangle.

Obtuse isosceles: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.

Right triangle: A right triangle is a triangle in which one angle is 90°.

Hence, right isosceles triangle has exactly 2 equal sides and one right angle.

To learn more about an isosceles triangle visit:

https://brainly.com/question/10147636.

#SPJ6

If 16 units of chlorine are needed for every 1250 gallons of water. How many units of chlorine are needed for 625 gallons of water? a. 12 units b. 10 units c. 8 units d. 5 units​

Answers

Answer:

8 :)

Step-by-step explanation:

After the math contest, Basil noticed that there were four extra-
large pizzas that were left untouched. In addition, another three
slices of pizza were uneaten. If there were a total of 51 slices of
pizza left, how many slices does an extra-large pizza have?
MATH
CONTEST
3:30
RM
105
EX PIZZA
EX.16. DIZZA
XG. PIZZA
X LG PIZZA
14
12.
15

Answers

Answer:

correct answer = 12

Step-by-step explanation:

the extra large pizza contains = 12 slices of pizza.

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you ☺️

Answer:

An extra large pizza has 12 slices

there 6 more girls than boys in a class there 44 students in the class in all how many boys are there

Answers

Answer:  28 boys and 16 girls

Step-by-step explanation: Divide 44 by 2 to get 22 subtract 22 by 6 to get the girls and add 6 to 22 to get the boys.

Answer:

44% of the students of a class are girls. If the number of girls is 6 less than the number of boys, how many students are there in the class?

let x be the number of boys, so (x - 6) will be number of girls.

total number of students will be boys plus girls : x + (x - 6) = 2x - 6

now 44% are girls which come from formula no. of girls divide by total students into 100: (x - 6)/(2x-6)*100 = 44

by solving we get x = 28 (where x is number of boys)

now x - 6 = 28–6 = 22 (number of girls)

add both we get total number of students = 28 + 22 = 50

Answer = 50

Step-by-step explanation:

This is not the answer this is a example!

For which of the following is x = 5 NOT a solution
(a) 12 + 3x = -15
(b) 2x − 6x = -20
(c) 18 = 13 + x
(d) -4x = x − 25

Answers

Answer:

A) x= -9

B) x=5

C) x=5

D) x=5

Step-by-step explanation:

the first one, if you plug in 5 to the others, they come out even. A does not.

12 + 3(5) = -15
12 + 15 = -15
27 = -15
0 = -42

this is incorrect, making A your answer.
hope this helps!


if 15 of the 1001
cars in a parking
lot are white,
how many cars
are white?

Answers

Answer:

15...

Step-by-step explanation:

Is this the full question?

I guess the question is somewhat incomplete. Please check and post again.

please do ALL 3 will give brainliest!! and a surprise!!!

Answers

Answer:

a) -2.5x+3.9+1.7x

circle: 2.5x and 1.7x

variables: x

b) 1 1/2+t+2/3s

no like terms

variables: s and t

c) 15k+2/3k+3m

circle: 15k and 2/3k

variables: k and m

can you guys help me please.

Answers

Answer:

question 1: answer is 4

question 2: answer is 1

Step-by-step explanation:

PLEASE HELP I NEED THIS BEFORE 8:00 pm

Answers

Answer:

y = -27

Step-by-step explanation:

-3 * 3 = -9 * 2 = -18/9 = -27

Answer:

The answer is Y=-27

Step-by-step explanation:

Hope this helped

Linda and Philip share £54 in the ratio 4:5. Find how much money each of them will recieve​

Answers

Answer:

Linda has £24 and Philip has £30.

Step-by-step explanation:

Denote a variable to the amount of money Linda and Philip have:

Money Linda has = L

Money Philip has = P

L + P = 54

There is a ratio of 4:5 so for every £4 Linda has, Philip will have £5. When adding both values, 4+5, you get 9.

Divide the total amount of money by the sum of the ratio numbers so 54/9 which gives 6.

Multiply the number you get from the division by their respective ratios.

Linda = 6 * 4 = 24

Philip = 6 * 5 = 30

Add both numbers if you want to make sure the answer is correct.

Tell whether (3,5) is a solution of y = 5x – 10.

Answers

Answer:

yes it is

Step-by-step explanation:

plug x and y in

3 * 5 - 10 = 5 <== And this is true

Answer:

The answer would be yes.

Why is it a problem to find the square root of a negative number, for example √-4?

Answers

Answer:

It is not possible because no number times itself can equal a negative number.

Answer:

Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).

This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."

For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.

Helpppppppp helpppppppp

Answers

Answer:

D

Step-by-step explanation:

divide the fraction lol

Answer:

D

Step-by-step explanation:

gchchchxhccydhdjchhxxhxchxxhbddbxbdbhdxh

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