Answer:
{y,x} = {2,3}
System of Linear Equations entered :
[1] y=5x-13
[2] 4x+3y=18
Equations Simplified or Rearranged :
[1] y - 5x = -13
[2] 3y + 4x = 18
Graphic Representation of the Equations :
-5x + y = -13 4x + 3y = 18
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 13
// Plug this in for variable y in equation [2]
[2] 3•(5x-13) + 4x = 18
[2] 19x = 57
// Solve equation [2] for the variable x
[2] 19x = 57
[2] x = 3
// By now we know this much :
y = 5x-13
x = 3
// Use the x value to solve for y
y = 5(3)-13 = 2
Solution :
{y,x} = {2,3}
Explanation
