Question

Error Analysis The solution shown for the equation is
incorrect. What is the correct solution? What is the error?
- 5(3-r) = 30
- 15 - 5r = 30
- 5r = 45
r = -9
The solution is
(Type the value of r.)

Answer 1

Answer:

they did not distribute correctly,  it should be plus 5r not -5r

r =9

Step-by-step explanation:

- 5(3-r) = 30

Distribute

-15 +5r = 30

The error is here

they did not distribute correctly,  it should be plus 5r not -5r

Add 15 to each side

-15+15 +5r = 30+15

5r = 45

Divide each side by 5

5r/5 = 45/5

r = 9

Answer 2

Answer:

-5(3-r)=30

Distribute the -5

-5*3 + -5*-r = 30

-15+5r=30

Add 15 to both sides

5r=45

Divide both sides by 5

r=9

The mistake was made while distributing. The error was -5*-r should be 5r, not -5r.