Question

What is the value of q in the equation 5q − 10 = 75? (4 points)

A.17
B.60
C.65
D.85

Answer 1

A. 17

Explanation:

Solve for q:

`\longrightarrow` 5q - 10 = 75

Add 10 to both sides:

`\longrightarrow` 5q + (10 - 10) = 10 + 75

10 - 10 = 0:

`\longrightarrow` 5q = 75 + 10

75 + 10 = 85:

`\longrightarrow` 5q = 85

Divide both sides of 5q = 85 by 5:

`\longrightarrow`
`\sf (5q)/(5) = (85)/(5)`

`\sf (5)/(5)` = 1:

`\longrightarrow` q =
`\sf (85)/(5)`

`\sf (85)/(5)` = 17:

`\longrightarrow` q = 17

Answer 2

Q=17

Explanation:

5q − 10 = 75

Add ten to both sides=5q=85

Divide both sides by 5=q=17