Solving Systems of Equations in Two Variables HSA.REI.C.5 Practice Question Lumos StepUp SAT Practice Program - Mathematics

Lumos StepUp SAT Practice Program - Mathematics Solving Systems of Equations in Two Variables

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Janie was solving a system of equations and arrived at the wrong answer. Below is her work. Find the mistake and state how to correctly work the problem.

\(\left\{ \begin{array}{c} 3x+y=5 \\ x-y=7 \end{array} \right.\)

\(y=5-3x\)

\(x-5-3x=7\)

\(-2x-5=7\)

\(-2x=12\)

\(x=-6\)

\(y=5-3x=5-3\left(-6\right)=23\)

\(\left(-6,\ 23\right)\)


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