Answer
$\{(-1,1)\}$
Work Step by Step
We are given the system of equations as:
$4x+3y=-1 ~~~(1) \\ 2x+5y=3 ~~~(2)$
By multiplying second equation by $-2$ and then second equation is equivalent to:
$-4x-10y=-6 ~~~~(3)$
Add equations (1) and (3) to eliminate $x$ and then solve for $y$.
$4x+3y-4x-10y=-1-6 \\ -7y=-7 \\ y=1$
Plug $y=1$ into the second equation then solve for x to obtain:
$2x+(5)(1)=3 \\ 2x+5=-3 \\x=-1$
So, the solution set is $\{(-1,1)\}$.
