Question

Solve 3 ( 2m - 5 ) = 9

Answer 1

To solve the equation 3(2m - 5) = 9, you'll need to follow these steps:

1. Distribute the 3 on the left side of the equation to both terms inside the parentheses:

3 * 2m - 3 * 5 = 9

2. Simplify both sides of the equation:

6m - 15 = 9

3. Now, isolate the variable term (6m) on one side by adding 15 to both sides of the equation:

6m - 15 + 15 = 9 + 15

6m = 24

4. Finally, to solve for m, divide both sides by 6:

(6m)/6 = 24/6

m = 4

So, the solution to the equation is:

m = 4

Explanation:

Answer 2

`\large\bf{\underline{\underline{\mathfrak{Question}:}}}`

Solve

(i) 3 (2m - 5) = 9

`\large\bf{\underline{\underline{\mathfrak{Solution}:}}}`

Given that,

(i) 3 (2m - 5) = 9

This type of question can be solved by many methods but the easiest method which can be applied here is,

`:{\Longrightarrow{\small{\rm{6m-15=9}}}}`

`:{\Longrightarrow{\small{\rm{6m=9+15}}}}`

`:{\Longrightarrow{\small{\rm{6m=24}}}}`

`:{\Longrightarrow{\small{\rm{m=(24)/(6)}}}}`

`:{\Longrightarrow{\small{\rm{m=4}}}}`

For verification :

Put the value of 'm' in the equation:

`:{\Longrightarrow{\small{\rm{6(4)-15=9}}}}`

`:{\Longrightarrow{\small{\rm{24-15=9}}}}`

`:{\Longrightarrow{\small{\rm{9=9}}}}`

`:{\Longrightarrow{\small{\rm{L.H.S=R.H.S}}}}`

Hence Solved!