Answer:
{x,y} = {6,-4}
System of Linear Equations entered :
[1] 5x-7y=58
[2] y=-x+2
Equations Simplified or Rearranged :
[1] 5x - 7y = 58
[2] x + y = 2
Graphic Representation of the Equations :
-7y + 5x = 58 y + x = 2
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -x + 2
// Plug this in for variable y in equation [1]
[1] 5x - 7•(-x +2) = 58
[1] 12x = 72
// Solve equation [1] for the variable x
[1] 12x = 72
[1] x = 6
// By now we know this much :
x = 6
y = -x+2
// Use the x value to solve for y
y = -(6)+2 = -4
Solution :
{x,y} = {6,-4}
Step-by-step explanation:
