Answer
$(3,1)$
Work Step by Step
None of the variables have a coefficient 1, meaning that isolating one would involve fractions.
The easier way to go here is elimination. Focus on y, which has coefficients with opposite signs.
Multiply each equation (don't forget: both sides) as denoted:
$\left\{\begin{array}{llll}
2x & -5y & =1 & .../\times 2\\
3x & +2y & =11 & .../\times 5
\end{array}\right.$
$\left\{\begin{array}{llll}
4x & -10y & =2 & ...\\
15x & +10y & =55 & ...
\end{array}\right.$Adding eliminates y.
$19x=57\qquad$ ... and solve for x
$x=\displaystyle \frac{57}{19}$
$x=3$
Now, back-substitute into (*)
$3x+2y=11$
$ 3(3)+2y=11\qquad$ ... subtract $9$
$2y=2$
$y=1$
Form an ordered pair $(x,y) $ as the solution to the system
$(3,1)$
