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

1 Answer

4 votes

Answer:


\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!

User Quentin Casasnovas
by
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