Question

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

Answer 1

Answer:

$\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)$

Step-by-step 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:

$x=-\dfrac{4}{25}$

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

$-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}$

The ordered pair that represents this solution is therefore:

$\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)$

Hope this helps!