Question

Solve for x
4(x+7)+98x+45+7y=567

Answer 1

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

`(102x)/(102) =(494)/(102) +(-7y)/(102)`

Cancel the greatest common factor which is 102x/102

`(102x)/(102) =(494)/(102) +(-7y)/(102)`

Divide x by 1
`x(492)/(102) +(-7y)/(102)`

Cancel the common factor is 494 and 102

Factor 2 out of 494

`x(2(247))/(102) +(-7y)/(102)`

Factor 2 out of 102

`(2*247)/(2*51) +(-7y)/(102)`

Cancel the common factor which is 2

Rewrite the expression.
`x=(247)/(51) +(-7y)/(102)`

Move the negative in front of the fraction

`(247)/(51) -(7y)/(102)`