Answer
$(3,5)$
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $2x-3y=-9$
Green line: $4x-y=7$
If we substitute the $x$ and $y$ for $3$ and $5$ respectively, for the purple line:
$2x-3y=-9$
$2(3)-3(5)=-9$
$6-15=-9$ (true)
Green line:
$4x-y=7$
$4(3)-5=7$
$12-5=7$ (true)
Purple line:
$2x-3y=-9$
$2x-3y+3y+9=-9+3y+9$
$2x+9=3y$
$(2x+9)/3=3y/3$
$y=2/3*x+3$ ($m=2/3$, y-intercept is 3)
Green line:
$4x-y=7$
$4x-y+y-7=7+y-7$
$4x-7=y$ ($m=4$, y-intercept is -7)
