Question

Does y = 3/4 x + 6 and y = -3/4 x + 5 have one solution

Answer 1

Answer:

yes

Step-by-step explanation:

Given the 2 equations

y = $\frac{3}{4}$ x + 6 → (1)

y = - $\frac{3}{4}$ x + 5 → (2)

Substitute y = $\frac{3}{4}$ x + 6 into (2)

$\frac{3}{4}$ x + 6 = - $\frac{3}{4}$ x + 5 ( add $\frac{3}{4}$ to both sides )

$\frac{3}{2}$ x + 6 = 5 ( subtract 6 from both sides )

$\frac{3}{2}$ x = - 1 ( divide both sides by $\frac{3}{2}$ )

x = $\frac{-1}{\frac{3}{2} }$ = - $\frac{2}{3}$ ← one solution

Answer 2

Yes it does the solution is -1.5