Answer :
Subtract 73 from both sides of the equation.
102x+7y=567-73
Subtract 7y from both sides of the equation.
102x=567-73-7y
Subtract 73 from 567
102x=494-7y
Divide each term by 102 and simplify
Divide each term 102x=494-7y by 102
[tex]\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}[/tex]
Cancel the greatest common factor which is 102x/102
[tex]\frac{102x}{102} =\frac{494}{102} +\frac{-7y}{102}[/tex]
Divide x by 1[tex]x\frac{492}{102} +\frac{-7y}{102}[/tex]
Cancel the common factor is 494 and 102
Factor 2 out of 494
[tex]x\frac{2(247)}{102} +\frac{-7y}{102}[/tex]
Factor 2 out of 102
[tex]\frac{2*247}{2*51} +\frac{-7y}{102}[/tex]
Cancel the common factor which is 2
Rewrite the expression.[tex]x=\frac{247}{51} +\frac{-7y}{102}[/tex]
Move the negative in front of the fraction
[tex]\frac{247}{51} -\frac{7y}{102}[/tex]