Question

Use elimination to solve eachsystem of equations2x - y = 165x + 3y = -4

Answer 1

To solve by elimination, we add 3 times the first equation to the second one, and get:

`6x-3y+5x+3y=48-4.`

Simplifying the above equation, we get:

`11x=44.`

Dividing by 11, we get:

`x=(44)/(11)=4.`

Substituting x=4 in the first equation, and solving for y, we get:

`\begin{gathered} 2(4)-y=16, \\ 8-16=y, \\ -8=y\text{.} \end{gathered}`

Answer:

`\begin{gathered} x=4, \\ y=-8. \end{gathered}`