Question

Solving a System by Elimination In Exercises $13-30$ , solve the system by the method of elimination and check any solutions algebraically. $$ \left\{\begin{aligned} \frac{x+3}{4}+\frac{y-1}{3} &=1 \\ 2 x-y &=12 \end{aligned}\right. $$

          Solving a System by Elimination In Exercises
$13-30$ , solve the system by the method of elimination and
check any solutions algebraically.
$$
\left\{\begin{aligned} \frac{x+3}{4}+\frac{y-1}{3} &=1 \\ 2 x-y &=12 \end{aligned}\right.
$$

Added by Matthew C.

Elementary and Intermediate Algebra

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

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Solved by Expert Craig West

Step 1

Step 1: Eliminate one variable To eliminate one variable, we can multiply the second equation by $\frac{3}{2}$ to get: $$3x- \frac{3}{2}y = 18$$ Now we can add this equation to the first equation to eliminate $y$: $$\frac{x+3}{4}+\frac{y-1}{3} + 3x- \frac{3}{2}y Show more…

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Solving a System by Elimination In Exercises $13-30$ , solve the system by the method of elimination and check any solutions algebraically. $$ \left\{\begin{aligned} \frac{x+3}{4}+\frac{y-1}{3} &=1 \\ 2 x-y &=12 \end{aligned}\right. $$