Question

Solve the following system of linear equations using elimination. 3x + 4y= 24 - x +2y = 2

Answer 1

To solve the given system, first, let's multiply the second equation by 3

`\begin{gathered} 3x+4y=24 \\ -3x+6y=6 \end{gathered}`

Then, we combine the equations

`\begin{gathered} 3x-3x+4y+6y=24+6 \\ 10y=30 \\ y=(30)/(10) \\ y=3 \end{gathered}`

Now, we find x

`\begin{gathered} -x+2y=2 \\ -x+2\cdot3=2 \\ -x+6=2 \\ -x=2-6 \\ -x=-4 \\ x=4 \end{gathered}`

Hence, the solution is (4,3).