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fgiga [73]
4 years ago
10

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

Mathematics
1 answer:
V125BC [204]4 years ago
8 0

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!

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