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System of Linear Equations entered :
[1] 3x - y = 19
[2] 8x - 5y = 20
Graphic Representation of the Equations :
y + 3x = 19 -5y + 8x = 20
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 3x - 19
// Plug this in for variable y in equation [2]
[2] 8x - 5•(3x-19) = 20
[2] -7x = -75
// Solve equation [2] for the variable x
[2] 7x = 75
[2] x = 75/7
// By now we know this much :
x = 75/7
y = 3x-19
// Use the x value to solve for y
y = 3(75/7)-19 = 92/7
Solution :
{x,y} = {75/7,92/7}
