Answer:
y = -3
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
4(y + [tex]\frac{7}{2}[/tex]) - 2y = 8 Distribute the 4. Multiply everything in the parentheses by 4
4y + 14 - 2y = 8 4[tex](\frac{7}{2})[/tex] = [tex]\frac{28}{2}[/tex] = 14 Combine the like terms 4y and -2y
2y + 14 = 8 Subtract 14 from both sides
2y = -6 Divide both sides by 2
y = -3
Plug -3 in for y in either original equation.
4x - 2y = 8
4x -2(-3) = 8
4x + 6 = 8 Subtract 6 from both sides
4x = 2 Divide both sides by 4
x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Check:
x = y + [tex]\frac{7}{2}[/tex]
[tex]\frac{1}{2}[/tex] = -3+ [tex]\frac{7}{2}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{-6}{2}[/tex] + [tex]\frac{7}{2}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
4x - 2y = 8
4([tex]\frac{1}{2}[/tex]) - 2(-3) = 8
2 + 6 = 8
8 = 8
