Question

Simplify and solve this equation for q: 3q + 5 + 2q - 5 = 65.

a. q = 13
b. q = 15
c. q = 11
d. q = 23

Answer 1

3q + 5 + 2q - 5 = 65

(Same terms)
3q + 2q + 5 - 5 = 65

(Then reduce)
[3q + 2q = 5q], [5 - 5 = 0] = 65
5q = 65
q = 65/5
q=13

Answer 2

Option a is correct.

Value of q is, 13

Explanation:

Given the equation:
`3q +5 +2q -5 = 65`

Solve for q;

Like terms defined as those terms which have same variables, and powers.

Combine like terms in the given equation we get;

`5q = 65`

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 5 both sides we get;

`(5q)/(5)=(65)/(5)`

Simplify:

q = 13

Therefore, the value of q is, 13