Question

Solving a System by Elimination In Exercises $5-12,$ solve the system by the method of elimination. Label each line with its equation. To print an enlarged copy of the graph, go to MathGraphs.com. $$ \left\{\begin{aligned} 9 x-3 y &=-15 \\-3 x+y &=5 \end{aligned}\right. $$

          Solving a System by Elimination In Exercises
$5-12,$ solve the system by the method of elimination.
Label each line with its equation. To print an enlarged
copy of the graph, go to MathGraphs.com.
$$
\left\{\begin{aligned} 9 x-3 y &=-15 \\-3 x+y &=5 \end{aligned}\right.
$$

Added by Reginald M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Rashmi Prakash

Step 1

In this case, we can eliminate $y$ by multiplying the second equation by $3$: $$\left\{\begin{aligned} 9 x-3 y &=-15 \\-9 x+3 y &=15 \end{aligned}\right.$$ Now, we can add the two equations together to eliminate $y$: $$0x+0y=0$$ This equation is always true, Show more…

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Solving a System by Elimination In Exercises $5-12,$ solve the system by the method of elimination. Label each line with its equation. To print an enlarged copy of the graph, go to MathGraphs.com. $$ \left\{\begin{aligned} 9 x-3 y &=-15 \\-3 x+y &=5 \end{aligned}\right. $$