Question

I can't seem to figure out this problem -4q + 9 = 7q - 31 ​

Answer 1

`\large\boxed{q=(40)/(11)}`

Explanation:

`-4q+9=7q-31\qquad\text{subtract 9 from both sides}\\\\-4q+9-9=7q-31-9\\\\-4q=7q-40\qquad\text{subtract }\ 7q\ \text{from both sides}\\\\-4q-7q=7q-7q-40\\\\-11q=-40\qquad\text{divide both sides by -11}\\\\(-11q)/(-11)=(-40)/(-11)\\\\q=(40)/(11)`

Answer 2

q = 3.636363636 repeating

Explanation:

- 4q + 9 = 7q - 31

+ 4q + 4q

9 = 11q - 31

+ 31 + 31

40 = 11q

`(40)/(11) = (11q)/(11)`