Question

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Answer 1

Answer:

B

Step-by-step explanation:

Remark

The easiest way to do this is to Substitute for y in the top equation.

2x + 4y = 18                         Divide by 2

2x/2 + 4y/2 = 18/2

x + 2y = 9

Substitute -3x + 2 in for y in the equation above

x + 2(-3x + 2) = 9

x - 6x + 4 = 9                    

Combine like terms on the left

-5x + 4 = 9                      

Subtract 4 from both sides.

-5x + 4-4 = 9- 4

-5x = 5

Divide by -5

-5x/-5 = 5/-5

x = - 1

That makes A and C incorrect.

y = -3x + 2

y = -3(-1) + 2

y = 3 + 2

y = 5

The correct answer should be (-1,5) which is B