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Question
- what is the first step to solve the following system of equations using substitution?
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$$\begin{cases} 3x + y = 15 \\\\ 5x - 3y = 11 \\end{cases}$$
\bigcirc \\ add the two equations together.
\bigcirc \\ divide the second equation by 3.
\bigcirc \\ multiply the first equation by 3.
\bigcirc \\ solve the first equation for y.
Brief Explanations
The substitution method requires first isolating one variable in one equation so it can be substituted into the other equation. The first equation has \(y\) with a coefficient of 1, making it easy to solve for \(y\). The other options describe steps for the elimination method, not substitution.
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Solve the first equation for y.