Answer:
x=2
y=3
Step-by-step 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)
Answer:
x = 2 and y = 3