Solve for x, y
Solution Steps
5(2x−4)−2yx=−2y=6?
Consider the second equation. Divide both sides by −2.
y=
−2
6
Divide 6 by −2 to get −3.
y=−3
Consider the first equation. Insert the known values of variables into the equation.
5(2x−4)−2(−3)x=−2(−3)
Use the distributive property to multiply 5 by 2x−4.
10x−20−2(−3)x=−2(−3)
Multiply −2 and −3 to get 6.
10x−20+6x=−2(−3)
Combine 10x and 6x to get 16x.
16x−20=−2(−3)
Multiply −2 and −3 to get 6.
16x−20=6
Add 20 to both sides.
16x=6+20
Add 6 and 20 to get 26.
16x=26
Divide both sides by 16.
x=
16
26
Reduce the fraction
16
26
to lowest terms by extracting and canceling out 2.
x=
8
13
The system is now solved.
x=
8
13
y=−52