Answer:
([tex]\frac{18}{5}[/tex], [tex]\frac{16}{5}[/tex] )
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
x + 2y = 10 → (2)
Substitute y = 2x - 4 into (2)
x + 2(2x - 4) = 10 ← distribute and simplify left side
x + 4x - 8 = 10
5x - 8 = 10 ( add 8 to both sides )
5x = 18 ( divide both sides by 5 )
x = [tex]\frac{18}{5}[/tex]
Substitute this value into (1) for corresponding value of y
y = 2([tex]\frac{18}{5}[/tex] ) - 4 = [tex]\frac{36}{5}[/tex] - [tex]\frac{20}{5}[/tex] = [tex]\frac{16}{5}[/tex]
solution is ([tex]\frac{18}{5}[/tex], [tex]\frac{16}{5}[/tex] )
