The solution to this system of equations is x = 5 and y = 2.
Given:
5x + 2y = 29 and x + 4y = 13.
on solving eq 1 - 5*eq 2:
5x + 2y - 5(x+4y) = 29 - 13*5
5x + 2y - 5x - 20y = 29 - 65
2y - 20 y = 29 - 65
-18y = -36
18y = 36
divide by 18 on both sides
18y/18 = 36/18
y = 36/18
y = 2
substitute y = 2
5x+2y = 29
5x + 2*2 = 29
5x + 4 = 29
5x = 29-4
5x = 25
divide by 5 on both sides
x = 25/5
x = 5
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