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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)

Respuesta :

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:

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

[tex]2x-y =7[/tex]                   ......[2]

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

[tex]8x-4y =28[/tex]                 .....[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;

[tex]2(2)-y =7[/tex]

⇒[tex]4-y=7[/tex]

Subtract 4 from both sides we have;

[tex]-y = 3[/tex]

⇒y =-3

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