Question

Simplify to determine the number of solutions 8(5b+3)=10(4b+2)

Answer 1

no solution

Explanation:

8(5b + 3) = 10(4b + 2) ← distribute parenthesis on both sides

40b + 24 = 40b + 20 ( subtract 24 from both sides )

40b = 40b - 4 ( subtract 40b from both sides )

0 = - 4 ← not possible

this indicates the equation has no solution

Answer 2

We will solve as follows:

`8(5b+3)=10(4b+2)\Rightarrow40b+24=40b+20`
`\Rightarrow40b-40b=20-24\Rightarrow0\\e-4`

The problem has no real solutions.