Question

Which value of gg g g makes 26=7(g−9)+1226=7(g-9)+12 26=7(g−9)+12 26, equals, 7, left parenthesis, g, minus, 9, right parenthesis, plus, 12 a true statement?

Answer 1

g=11

Explanation:

We are to determine the value of g that makes the equality below a true statement.

26=7(g-9)+12

First, we simplify the bracket.

26=7g-63+12

26=7g-51

Add 51 to both sides to isolate the term containing g

26+51=7g-51+51

77=7g

To solve for g, divide both sides by 7.

g=11

Answer 2

The value of g that makes the statement true is 11.

Explanation:

The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:

7*(g-9) + 12 = 26

7*(g-9) = 26 - 12

7*(g-9) = 14

(g-9) = 14/7

(g-9) = 2

g = 2 + 9 = 11

The value of g that makes the statement true is 11.