Question

how many solutions does the system of equations below have?
( y = -3x - \frac{3}{4} )
( y = -3x - \frac{8}{3} )
no solution
one solution
infinitely many solutions
save answer

Explanation:

Step1: Check slope/intercept consistency

Both equations have identical slope $m=-3$, with different y-intercepts $b_1 = -\frac{3}{4}$ and $b_2 = -\frac{8}{3}$. Parallel lines with distinct intercepts never intersect.

Answer:

no solution