Question

What is the solution of the system of linear equations?

–3x + 4y = –18
2x – y = 7
A. (–2, –3)
B. (–2, 3)
C. (2, –3)
D. (2, 3)

Answer 1

-3x+4y=-18
2x-y=7
the answer qould be C.(2,-3)
-3(2)+4(-3)=-18
-6+(-12)=-18
-18=-18

2(2)-(-3)=7
4+3=7
7=7

C.

Answer 2

Option C is correct

(2, -3)

Explanation:

Given the system of equation:

`-3x+4y=-18` .....[1]

`2x-y =7` ......[2]

Multiply both sides by 4 in [2] we have;

`8x-4y =28` .....[3]

Add equation [1] and [3] we have;

5x = 10

Divide both sides by 5 we have;

x = 2

Substitute the value of x in [1] we have;

`2(2)-y =7`

⇒
`4-y=7`

Subtract 4 from both sides we have;

`-y = 3`

⇒y =-3

Therefore, the solution of the system of linear equations is, (2, -3)