Question

Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2

Answer 1

`\left( -(4)/(25), -(98)/(25) \right)`

Explanation:

`x+2y=-8 \\\\y=12x-2`

Substitute:

`x+2(12x-2)=-8`

Expand:

`x+24x-4=-8`

Simplify:

`25x=-4`

Divide both sides by 25:

`x=-(4)/(25)`

Plug this back into one of the original equations to find y:

`-(4)/(25)+2y=-8 \\\\\\2y=-7 (21)/(25)=-(196)/(25) \\\\\\y=-(98)/(25)`

The ordered pair that represents this solution is therefore:

`\left( -(4)/(25), -(98)/(25) \right)`

Hope this helps!