Equation 1) 5x + 3y = 16
Equation 2) 3x - 5y = -4
Multiply all of equation 1 by 3, and all of equation 2 by 5.
1) 3(5x+3y=16)
2) 5(3x-5y=-4)
Simplify.
1) 15x + 9y = 48
2) 15x - 25y = -20
Subtract equations from each other.
34y = 68
Divide both sides by 34.
y = 2
Plug in 2 for y in first equation.
5x + 3y = 16
5x + 3(2) = 16
Simplify.
5x + 6 = 16
Subtract 6 from both sides.
5x = 10
Divide both sides by 5.
x = 2
(2, 2)
~Hope I helped!~
