Question

Solve the system of equations:7x - 4y= -12 9x - 4y = -12

Answer 1

(0,3)

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} 7x-4y=-12 \\ 9x-4y=-12​ \end{gathered}`

Subtract to eliminate y:

`\begin{gathered} 7x-9x=-12-(-12) \\ -2x=0 \\ x=(0)/(-2) \\ x=0 \end{gathered}`

Substitute x=0 to solve for y:

`\begin{gathered} 7x-4y=-12 \\ 7(0)-4y=-12 \\ 0-4y=-12 \\ -4y=-12 \\ y=(-12)/(-4) \\ y=3 \end{gathered}`

The solution to the system of equations is x=0 and y=3, that is, (0,3).