Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 4
x - 2y = -5

Answer 1

2x + 3y = 4
x - 2y = -5
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multiply the bottom equation by -2

2x + 3y = 4
-2x +4y = 10
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add vertically

2x-2x + (3y+4y) =4 + 10

7y = 14

y = 14/7

y = 2

plug y = 2 into the equation 2x + 3y = 4 for y and solve for x.

Answer 2

thank you!:)

Answer 3

you're welcome