Question

Solve each equation 2 = e - 1

r - 3 = 1
z - 6.3 = 2.1
t - 9.25 = 5.45
k - 32.9 = 16.5

Answer 1

`2=e-1\qquad\text{add 1 to both sides}\\\\2+1=e-1+1\\\\3=e\to\boxed{e=3}\\----------\\r-3=1\qquad\text{add 3 to both sides}\\\\r-3+3=1+3\\\\\boxed{r=4}\\----------\\z-6.3=2.1\qquad\text{add 6.3 to both sides}\\\\z-6.3+6.3=2.1+6.3\\\\\boxed{z=8.4}\\-----------------\\t-9.25=5.45\qquad\text{add 9.25 to both sides}\\\\t-9.25+9.25=5.45+9.25\\\\\boxed{t=14.7}\\----------------\\k-32.9=16.5\qquad\text{add 32.9 to both sides}\\\\k-32.9+32.9=16.5+32.9\\\\\boxed{k=49.4}`

Answer 2

Hello!

1. 2=e-1

First, you switch sides.

`e-1=2`

Then, you add 1 from both sides of an equation.

`e-1+1=2+1`

Add by the numbers.

`2+1=3`

`\boxed{e=3}`, is the correct answer.

_____________________________________________

2. r-3=1

First, you add by 3 both sides of an equation.

`r-3+3=1+3`

Add by the numbers.

`1+3=4`

`\boxed{r=4}`, is the correct answer.

__________________________________________________

3. z-6.3=2.1

First, you add by 6.3 both sides of an equation.

`z-6.3+6.3=2.1+6.3`

Add by the numbers.

`2.1+6.3=8.4`

`\boxed{z=8.4}`, is the correct answer.

____________________________________________________

4. t-9.25=5.5

First, you add by 9.25 both sides of an equation.

`t-9.25+9.25=5.45+9.25`

Simplify.

`=14.7`

`\boxed{t=14.7}`, is the correct answer.

____________________________________________________

5. k-32.9=16.5

First, you add 32.9 both sides of an equation

`k-32.9+32.9=16.5+32.9`

Add by the numbers.

`32.9+16.5=49.4`

`\boxed{k=49.4}`, is the correct answer.

______________________________________________________

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you!