Step by Step Solution
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System of Linear Equations entered :
[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :
-3y - 4x = -7 -3y + 16x = 13
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 16x = 3y + 13
[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]
[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y
[1] 15y = 15
[1] y = 1
// By now we know this much :
x = 3y/16+13/16
y = 1
// Use the y value to solve for x
x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
