2y + 5x = 13
2y - 3x = 5
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Solve for x in the first equation. Subtract 2y from both sides.
5x = 13 - 2y
Divide both sides by 5.
x = 13/5 - 2/5y
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Plug x into the second equation.
2y - 3(13/5 - 2/5y) = 5
Distribute 3 inside the parentheses.
2y - 7.8 + 1.2y = 5
Combine like terms.
3.2y - 7.8 = 5
Add 7.8 to both sides.
3.2y = 12.8
Divide both sides by 3.2.
y = 4
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Plug 4 for y into the first equation.
2(4) + 5x = 13
8 + 5x = 13
Subtract 8 from both sides.
5x = 5
Divide both sides by 5.
x = 1
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x = 1, y = 4
