Answer:
(10, 10 )
Step-by-step explanation:
Given the 2 equations
2x - y = 10 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
2x - ([tex]\frac{1}{2}[/tex] x + 5) = 10 ← distribute parenthesis on left side by - 1
2x - [tex]\frac{1}{2}[/tex] x - 5 = 10
[tex]\frac{3}{2}[/tex] x - 5 = 10 ( add 5 to both sides )
[tex]\frac{3}{2}[/tex] x = 15 ( multiply both sides by 2 to clear the fraction )
3x = 30 ( divide both sides by 3 )
x = 10
Substitute x = 10 into (2) and evaluate for y
y = [tex]\frac{1}{2}[/tex] (10) + 5 = 5 + 5 = 10
solution is (10, 10 )
