Answer
$\{(4,-2)\}$
Work Step by Step
1. The least work in creating opposite coefficients is to
multiply the first equation by ($-2)$ ,
which will lead to eliminating $x:$
$\left\{\begin{array}{lll}
-10x & -14y & =-12\\
10x & -3y & =46
\end{array}\right.$
2. ... add the equations and solve
$-17y=34\qquad/\div(-17)$
$y=-2$
3. Back-substitute into one of the initial equations
$5x+7y=6$
$5x+7(-2)=6$
$5x-14=6\qquad/+14$
$5x=20\qquad/\div 5$
$x=4$
4. Write the solution as an ordered pair.
Solution set: $\{(4,-2)\}$