Question

Solve and check
2/3y =6
A.1/9
B.1/4
C.9
D.4

Answer 1

`(2)/(3) *y=6 \\ \\ y=6: (2)/(3) =6* (3)/(2) = (18)/(2) =9`

So the answer is C. 9

2/3* 9=(2*9)/3=18/3= 6 (true)

Answer 2

`(2)/(3)y=6\ \ \ \ |divide\ both\ sides\ by\ (2)/(3)\ /multiply\ by\ (3)/(2)/\\\\y=6\cdot(3)/(2)\\\\y=(6)/(1)\cdot(3)/(2)\\\\y=(\\ot6^3\cdot3)/(1\cdot\\ot2_1)\\\\y=(3\cdot3)/(1\cdot1)\\\\y=(9)/(1)\\\\\boxed{y=9}\leftarrow answer\ \boxed{C}`


`check:\\\\/put\ the\ value\ of\ y=9\ to\ the\ equation\ (2)/(3)y=6/\\\\(2)/(3)\cdot9=6\\\\(2)/(3)\cdot(9)/(1)=6\\\\(2)/(\\ot3_1)\cdot(\\ot9^3)/(1)=6\\\\(2)/(1)\cdot(3)/(1)=6\\\\2\cdot3=6\\\\\boxed{6=6}\leftarrow TRUE`