when g(x)=7x-9 what is the value of x in the function g(x)=x+3

Answer 1

You can start by setting 7x-9 equal to x+3, since they are both equal to g(x), and therefore equal to one another by the transitive property of equality. Then, we can use grouping to solve for x:

7x-9 = x+3

First we add 9 to both sides:

7x-9+9 = x+3+9 → 7x = x+12

Now we subtract x from both sides:

7x - x = x+12-x → 6x = 12

Finally, we divide both sides by 6.

6x ÷ 6 = 12 ÷ 6 → x = 2

The result is x = 2.