Answer: (4, 2) or x = 4, y = 2
Solving by substitution:
Given:
5x + 2y = 24
5y = x + 6
Setting one equation equal to y:
2y = -5x + 24
y = [tex]\frac{-5}{2}[/tex]x + 12
Substituting:
5y = x + 6
5([tex]\frac{-5}{2}[/tex]x + 12) = x + 6
[tex]\frac{-25}{2}[/tex]x + 60 = x + 6
[tex]\frac{-25}{2}[/tex]x + 54 = x
54 = [tex]\frac{27x}{2}[/tex]
108 = 27x
4 = x
Plug x = 4 into an equation to solve for y:
5y = x + 6
5y = (4) + 6
5y = 10
y = 2
Solving by graphing:
The solution is the point of intersection.
-> See attached
