Question

Determine the value of y in the proportion 6y−10/5+7y=1/2 .

Answer 1

y = 5

Explanation:

`(6y-10)/(5+7y)=(1)/(2)\qquad\text{cross multiply}\\\\(2)(6y-10)=(1)(5+7y)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(2)(6y)+(2)(-10)=5+7y\\\\12y-20=5+7y\qquad\text{add 20 to both sides}\\\\12y-20+20=5+20+7y\\\\12y=25+7y\qquad\text{subtract}\ 7y\ \text{from both sides}\\\\12y-7y=25+7y-7y\\\\5y=25\qquad\text{divide both sides by 5}\\\\(5y)/(5)=(25)/(5)\\\\y=5`