Question

Explain what is happening at this step in the solving equation process.

1. 10 − 6 x = 4 + 5 x

2. 7-6x=1+5x

Answer 1

1. After solving we get value of x:
`\mathbf{x=(6)/(11) }`

2. After solving we get value of x:
`\mathbf{x=(6)/(11) }`

Explanation:

We need to Solve the equations.

1.
`10 - 6 x = 4 + 5 x`

Step 1: Subtract 5x on both sides

`10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4`

Step 2: Subtract 10 on both sides

`10-11x-10=4-10\\-11x=-6`

Step 3: Divide both sides by -11

`(-11x)/(-11)=(-6)/(-11)\\x=(6)/(11)`

So, after solving we get value of x:
`\mathbf{x=(6)/(11) }`

2.
`7-6x=1+5x`

Step 1: Subtract 5x on both sides

`7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1`

Step 2: Subtract 7 on both sides

`7-11x-7=1-7\\-11x=-6`

Step 3: Divide both sides by -11

`(-11x)/(-11)=(-6)/(-11)\\x=(6)/(11)`

So, after solving we get value of x:
`\mathbf{x=(6)/(11) }`