Answer: y=0 and x=3
Step 1: Solve for x in 2x+9y=6.
[tex]2x+9y=6[/tex]
[tex]2x=6-9y[/tex] (Subtract 9y from both sides)
[tex]x=3 - 4.5y[/tex]( Divide both sides by 2)
Step 2: Replace x with 3-4.5y
[tex]-7x - 8y = -21\\-7(3-4.5y) - 8y = -21\\[/tex]
Step 3: Solve for y
[tex](-21)+31.5y-8y=(-21)[/tex] (By looking at this, we can determine that y=0)
Step 4: Replace y with 0
[tex]2x+9y=6\\2x+9(0)=6\\2x=6\\[/tex]
[tex]x=3[/tex] (Divide both sides 2)
Therefore, y=0 and x=3
