Question

-Solve this system of equations byusing the elimination method.4x – 6y = -20-2x + 4y = 6([?],[])

Answer 1

Given the following system of equations:

We will use the elimination method to solve the system of equations

Multiply the second equation by (-2) to eliminate (x) then solve for (y)

`\begin{gathered} \begin{cases}6x-5y=3 \\ 3x-8y=-15\rightarrow(*-2){}\end{cases} \\ =============== \\ \begin{cases}6x-5y=3{} \\ -6x+16y={30}\end{cases} \\ =============== \\ 0+11y=33 \\ y=(33)/(11)=3 \end{gathered}`

Substitute with (y) into equation (1) to find (x):

`\begin{gathered} 6x-5(3)=3 \\ 6x-15=3 \\ 6x=3+15 \\ 6x=18 \\ x=(18)/(6) \\ x=3 \end{gathered}`

So, the answer will be (x, y) = (3, 3)