Question

What is the solution for:
2x-5y=-1
3x-4y=2

Answer 1

Simplifying
(13x + -4y) + (2x + 5y) = 0

Remove parenthesis around (13x + -4y)
13x + -4y + (2x + 5y) = 0

Remove parenthesis around (2x + 5y)
13x + -4y + 2x + 5y = 0

Reorder the terms:
13x + 2x + -4y + 5y = 0

Combine like terms: 13x + 2x = 15x
15x + -4y + 5y = 0

Combine like terms: -4y + 5y = 1y
15x + 1y = 0

Solving
15x + 1y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
15x + 1y + -1y = 0 + -1y

Combine like terms: 1y + -1y = 0
15x + 0 = 0 + -1y
15x = 0 + -1y
Remove the zero:
15x = -1y

Divide each side by '15'.
x = -0.06666666667y

Simplifying
x = -0.06666666667y