Answer
$(4,-2)$
Work Step by Step
To solve this system of equations, we use the graphing method.
$5x-4y=28$
$y=-2$
Taking the first equation, we solve for $y$.
$5x-4y=28$
$-4y=28-5x$
$y=\frac{28-5x}{-4}$
Find three solutions:
For x=2,
$y=\frac{28-5(2)}{-4}$
$y=\frac{28-10}{-4}$
$y=\frac{18}{-4}$
$y=-4.5$
For x=0,
$y=\frac{28-5(0)}{-4}$
$y=\frac{28}{-4}$
$y=-7$
For x=-2,
$y=\frac{28-5(-2)}{-4}$
$y=\frac{28+10}{-4}$
$y=\frac{38}{-4}=-9.5$
With the three points, $(2,-4.5), (0,-7), (-2,-9.5)$, we can graph the straight line that goes through these points.
Taking the second equation, we see that there is no $x$. This means that this is a horizontal line that goes through the point $y=-2$.
The intersection point between these two lines is the answer to the system of equations.
