Question

Solve for x
Y= 0.39(8x+30)

Answer 1

`\large\boxed{x=(50y-585)/(156)}`

Explanation:

`y=0.39(8x+30)\qquad\text{use the distributive propety}\\\\y=(0.39)(8x)+(0.39)(30)\\\\y=3.12x+11.7\qquad\text{multiply both sides by 100}\\\\100y=312x+1170\qquad\text{subtract 1170 from both sides}\\\\100y-1170=312x\qquad\text{divide both sides by 312}\\\\(100y-1170)/(312)=x\\\\x=(100y:2-1170:2)/(312:2)\\\\x=(50y-585)/(156)`