Answer:
Solved for y: [tex]y = 4/3 + 5/6x[/tex]
Solved for x: [tex]x = 6/5y - 8/5[/tex]
Step-by-step explanation:
Solving for y
Step 1: Subtract 5x from both sides
[tex]5x - 6y - 5x = -8 - 5x[/tex]
[tex]-6y = -8 - 5x[/tex]
Step 2: Divide both sides by -6
[tex]-6y / -6 = (-8 - 5x) / -6[/tex]
[tex]y = 4/3 + 5/6x[/tex]
Solving for x
Step 3: Add 6y to both sides
[tex]5x - 6y + 6y = -8 + 6y[/tex]
[tex]5x = 6y - 8[/tex]
Step 4: Divide both sides by 5
[tex]5x / 5 = (6y - 8) / 5[/tex]
[tex]x = 6/5y - 8/5[/tex]