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 $\frac{TE}{3}=u$

Answer 2

Answer: 1. r=3      2.   $U=\dfrac{T}{3}$

Step-by-step 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 : $T=\dfrac{3U}{E}$

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

$T= 3U$

Now, divide 3 on both sides , we get

$U=\dfrac{T}{3}$