Answer
$\{(1,3)\}$
Work Step by Step
1. y has opposite signs in the equations.
Multiplying the first equation by $4$
and the second by 3
will lead to eliminating y.
$\left\{\begin{array}{lll}
8x & -12y & =-28\\
15x & +12y & =51
\end{array}\right.$
2. ... add the equations and solve
$23x=23\qquad/\div 23$
$x=1$
3. Back-substitute into one of the initial equations
$5x+4y=17$
$5(1)+4y=17$
$5+4y=17\qquad/-5$
$4y=12\qquad/\div 4$
$y=3$
4. Write the solution as an ordered pair.
Solution set: $\{(1,3)\}$
