Verified Answer :

AlexL4

-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:

Option C is correct

(2, -3)

Step-by-step 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)