Solve the following
system of equations:
5x – 2y = 4
x + 2y = 8

x=2

y=3

Explanation

1. Solve x + 2y = 8 for x:

x + 2y = 8

x+2y + − 2y = 8 + −2y(Add -2y to both sides)

x = −2y + 8

2. Substitute −2y + 8 for "x" in 5x − 2y =4

5x − 2y = 4

5 (−2y + 8) − 2y =4

−12y + 40 = 4 (Simplify both sides of the equation)

−12y + 40 + −40 = 4 + −40(Add -40 to both sides)

−12y = −36 (Divide both sides by -12)

y = 3

3. Substitute 3 for "y" in x= −2y + 8

x = −2y + 8

x = (−2) (3) + 8

x = 2 (Simplify both sides of the equation)

x = 2 and y = 3

2nd one in the first row is correct