Question

How many solutions does this equation have?
7a + 5 (a + 3) = 8a + 4 (a + 2)

Answer 1

`no \: solution`

Explanation:

1) Expand.

`7a + 5a + 15 = 8a + 4a+ 8`

2) Simplify 7a + 5a + 15 to 12a + 15.

`12a + 15 = 8a + 4a+ 8`

3) Simplify 8a + 4a + 8 to 12a + 8.

`12a + 15 = 12a + 8`

4) Cancle 12a from both sides.

`15 = 8`

5) Since 15 = 8 is false, there's no solution.

`no \: solution`

Therefor, this equation has no solution.