Answer:
Part 1) [tex]x=77-2y[/tex]
Part 2) [tex]y=38.5-0.5x[/tex]
Step-by-step explanation:
we have
[tex]2x+4y-31=123[/tex]
Part 1) Solve for x
That means -----> isolate the variable x
[tex]2x+4y-31=123[/tex]
Subtract 4y both sides
[tex]2x+4y-31-4y=123-4y[/tex]
[tex]2x-31=123-4y[/tex]
Adds 31 both sides
[tex]2x-31+31=123-4y+31[/tex]
[tex]2x=154-4y[/tex]
Divide by 2 both sides
[tex]2x/2=(154-4y)/2[/tex]
[tex]x=(154-4y)/2[/tex]
[tex]x=77-2y[/tex]
Part 2) Solve for y
That means -----> isolate the variable y
[tex]2x+4y-31=123[/tex]
Subtract 2x both sides
[tex]2x+4y-31-2x=123-2x[/tex]
[tex]4y-31=123-2x[/tex]
Adds 31 both sides
[tex]4y-31+31=123-2x+31[/tex]
[tex]4y=154-2x[/tex]
Divide by 4 both sides
[tex]4y/4=(154-2x)/4[/tex]
[tex]y=(154-2x)/4[/tex]
[tex]y=38.5-0.5x[/tex]
