Question

Solve the Equation.

1. 2r - 8 + 5r = 10+r
show your work

Solve the formula for the indicated variable.

T= 3u/E, for U

Answer 1

1.

Firstly, combine like terms:
`7r-8=10+r`

Next, subtract r on both sides of the equation:
`6r-8=10`

Next, add 8 onto both sides of the equation:
`6r=18`

Lastly, divide both sides by 6 and your answer will be r = 3.

2.

Firstly, multiply both sides by e:
`TE=3u`

Lastly, divide both sides by 3, and your answer will be
`(TE)/(3)=u`

Answer 2

Answer: 1. r=3 2.
`U=(T)/(3)`

Explanation:

1. Given equation :
`2r - 8 + 5r = 10+r`

To solve this for r , we add 8 and subtracting r on both sides , we get

`2r+5r-r=10+8`

Now, combine like terms, we get

`6r=18`

Dividing 6 on both sides , we get

`r=3`

2. Given equation :
`T=(3U)/(E)`

To solve for U , we first multiply E on both sides , we get

`T= 3U`

Now, divide 3 on both sides , we get

`U=(T)/(3)`