Question

Solve for the m in the equation

Answer 1

`m = 15`

Explanation:

`(m)/(9 ) + (2)/(3) = (7)/(3)`

Multiply both sides of the equation by 99, the least common multiple of 9,39,3.

m + 6 =21

Subtract 6 from both sides.

m = 21 - 6

Subtract 6 from 21 to get 15.

m=15

Answer 2

`\rightsquigarrow\quad\sf{m=15}`

In-depth explanation:

Hi there, let's solve this equation.

Main Idea: The goal of all equations is to isolate the variable.

In this case, the variable is m, so we will isolate it.

`\sf{(m)/(9)+(2)/(3)=(7)/(3)}`

Subtract 2/3 from each side:

`\sf{(m)/(9)=(7)/(3)-(2)/(3)}`

`\sf{(m)/(9)=(5)/(3)}`

Multiply both sides by m:

`\sf{m=\bigg((5)/(3)\bigg)\cdot9`

`\sf{m=(5)/(3)*(9)/(1)}`

`\sf{m=(5)/(3\!\!\!\diagdown)*(9\!\!\!\diagdown)/(1)}`

`\sf{m=(5)/(1)*(3)/(1)}`

`\sf{m=15}`

Therefore, m = 15.