Solve equation [2] for the variable y
[2] 2y = -5x + 1
[2] y = -5x/2 + 1/2
// Plug this in for variable y in equation [1]
[1] 7x - 3•(-5x/2+1/2) = -5
[1] 29x/2 = -7/2
[1] 29x = -7
// Solve equation [1] for the variable x
[1] 29x = - 7
[1] x = - 7/29
// By now we know this much :
x = -7/29
y = -5x/2+1/2
// Use the x value to solve for y
y = -(5/2)(-7/29)+1/2 = 32/29
Solution :
{x,y} = {-7/29,32/29}
