2x + 4y = 22
2x - 2y = 14
Multiply the second equation through by 2 . So the two equations become:
2x + 4y = 22
4x - 4y = 28
Now add the two equations together to get...
6x + 0 = 50
6x = 50 Divide both sides of this equation by 6 .
x = 25/3
Now lets plug this value for x back into one of the equations to find y .
2(25/3) + 4y = 22 Multiply 2(25/3) to get 50/3 .
50/3 + 4y = 22 Subtract 50/3 from both sides of this equation.
4y = 22 - 50/3
4y = 16/3 Divide both sides by 4 .
y = 4/3