Answer
$(11,\frac{-2}{5})$
Work Step by Step
Given:
$2x + 5y = 20$
$3x - 10y = 37$
Multiply both sides of the first equation with 2:
$4x + 10y = 40$
$3x - 10y = 37$
Let's add the two equations to eliminate the y-terms. We get:
$7x=77$
$x=11$
Now let's substitute this value of x into the first equation in order to find the value of y.
$2(11) + 5y = 20$
$5y=-2$
$y=\frac{-2}{5}$
So, our solution is $(11,\frac{-2}{5})$.
