Question

What is the value of r in the equation 3r + 10 − 3r = 15?

Show all the steps by applying inverse operation, then check the answer to get full credit.

Answer 1

Answer:

No solution for r

Explanation:

Applying inverse operations to solve for r:
3r + 10 − 3r = 15
3r - 3r + 10 = 15 (subtract 3r from both sides)
10 = 15 - 0r (combine like terms)
10 = 15 (simplify)
This is a contradiction, as 10 cannot be equal to 15. Therefore, there is no solution for r in this equation.

Checking the answer:
Substituting r = 0 into the original equation gives:
3(0) + 10 - 3(0) = 10
which is not equal to 15. This confirms that there is no solution for r in the equation 3r + 10 - 3r = 15.

Answer 2

no solution

Explanation:

3r + 10 - 3r = 15 ← collect like terms on left side

10 = 15 ← false statement

this false statement indicates the equation has no solution