Answer:
{x,y} = {2,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 7x + 3y = 8
[2] 3x - 4y = 14
Graphic Representation of the Equations :
3y + 7x = 8 -4y + 3x = 14
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y + 14
[2] x = 4y/3 + 14/3
// Plug this in for variable x in equation [1]
[1] 7•(4y/3+14/3) + 3y = 8
[1] 37y/3 = -74/3
[1] 37y = -74
// Solve equation [1] for the variable y
[1] 37y = - 74
[1] y = - 2
// By now we know this much :
x = 4y/3+14/3
y = -2
// Use the y value to solve for x
x = (4/3)(-2)+14/3 = 2
Solution :
{x,y} = {2,-2}
