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

Answer:

B. 3/1

Step-by-step 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

Answer:

$\textsf{B)} \quad \dfrac{3}{1}$

Step-by-step 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:

$\implies \dfrac{x}{y}=3$

Therefore, the ratio of x to y is:

$\implies \dfrac{x}{y}=\dfrac{3}{1}$