Question

Solve one of the equations for "x" or "y" and then solve the system by substitution

Answer 1

Do what it says; solve one of them for y. I'll do the first one:


`y=6-2x`

Now that we know what y is, we can substitute that into the other equation:


`2x+5(6-2x)=22`

Now distribute:


`2x+30-10x=22`

And simplify:


`-8x+30=22`


`x=1`

Now that we know what x is, just put that value into either equation to find y, I'll do the first one since we already solved for y:


`y=6-2(1)`

And simplify:


`y=4`

Now just put the values into a coordinate pair:


`(1,4)`