The solution of the system of equation is x = 7 and y = 12.5.
2y + 4x = 18
2y - 3x = 4
2y = 4 + 3x
y = 2 + 3 / 2 x
Hence, let's substitute the value of y in equation(1)
2( 2 + 3 / 2 x) + 4x = 18
4 + 3x + 4x = 18
4 + 7x = 18
7x = 14
x = 14 / 2
x = 7
2y - 3(7) = 4
2y - 21 = 4
2y = 25
y = 25 / 2
y = 12.5
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