Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{3}{4}[/tex] x + 6 → (1)
y = - [tex]\frac{3}{4}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{3}{4}[/tex] x + 6 into (2)
[tex]\frac{3}{4}[/tex] x + 6 = - [tex]\frac{3}{4}[/tex] x + 5 ( add [tex]\frac{3}{4}[/tex] to both sides )
[tex]\frac{3}{2}[/tex] x + 6 = 5 ( subtract 6 from both sides )
[tex]\frac{3}{2}[/tex] x = - 1 ( divide both sides by [tex]\frac{3}{2}[/tex] )
x = [tex]\frac{-1}{\frac{3}{2} }[/tex] = - [tex]\frac{2}{3}[/tex] ← one solution
