Question

Given that 6( y + 3 ) = 2( x + 9 ), find the ratio of x to y.

A. 3/2
B. 3/1
C. 9/2
D. 6/1

Answer 1

B. 3/1

Explanation:

6(y+3) = 2(x+9)

6y + 18 = 2x + 18

6y - 2x = 18 - 18

6y - 2x = 0

6y = 2x

y/x = 6/2

y/x = 3/1

Answer 2

`\textsf{B)} \quad (3)/(1)`

Explanation:

Given equation:

`6(y+3)=2(x+9)`

Distribute the parentheses:

`\implies 6y+18=2x+18`

Subtract 18 from both sides:

`\implies 6y=2x`

Divide both sides by 2:

`\implies 3y=x`

Divide both sides by y:

`\implies (x)/(y)=3`

Therefore, the ratio of x to y is:

`\implies (x)/(y)=(3)/(1)`