x - y = 7 2x -3y = - 8
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[1] x + y = 7
[2] 2x - y = 8
Graphic Representation of the Equations :
y + x = 7 y + 2x = 8
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = -x + 7
// Plug this in for variable y in equation [2]
[2] 2x - (-x +7) = 8
[2] 3x = 15
// Solve equation [2] for the variable x
[2] 3x = 15
[2] x = 5
// By now we know this much :
x = 5
y = -x+7
// Use the x value to solve for y
y = -(5)+7 = 2
Solution :
{x,y} = {5,2}
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