x+2y=10;3x+4y=8
Solution :
{ x , y } = { -12 , 11}
System of Linear Equations entered :
[1] x + 2y = 10
[2] 3x + 4y = 8
Graphic Representation of the Equations :
2y + x = 10 4y + 3x = 8
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -2y + 10
// Plug this in for variable x in equation [2]
[2] 3• ( -2y +10) + 4y = 8
[2] - 2y = -22
// Solve equation [2] for the variable y
[2] 2y = 22
[2] y = 11
// By now we know this much :
x = -2y +10
y = 11
// Use the y value to solve for x
x = -2(11) +10 = -12
Solution :
{ x , y } = { -12 , 11}