Answer
(7, 3.5)
Work Step by Step
Our two equations are:
y=.5x
2y+3x=28
Just like our problem has asked us to do, we will use substitution as our method for solving this system. Lets substitute the first equation into the second equation for y to find the value of x.
2(.5x)+3x=28
Simplify:
x+3x=28
4x=28
Divide both sides by 4. We get:
x=7
Now that we know the value for x, lets substitute that value for y in the first equation.
y=.5(7)
Simplify:
y=3.5
So our coordinate or answer for the system is (7, 3.5)