Which of the following best describes the solution to the system of equations below?3x + 5y = 93x + 5y = 15

Accepted Solution

Answer: Option DStep-by-step explanation: The equation of the line in slope intercept form is: [tex]y=mx+b[/tex] Where m is the slope and b the y-intercept. Solve for y from both equations: [tex]5y=-3x+9\\y=\frac{-3}{5}x+\frac{9}{5}[/tex] [tex]5y=-3x+15\\y=\frac{-3}{5}x+3[/tex] As you can see, the slopes of the lines are equal, therefore, they are parallel. If the lines are parallel then the system of equtions has no solution.