Question

3 − 1 = 5 + 10 = −5 1/2 Check whether the given value of is a solution to the equation. Justify your answer.

Answer 1

`x = -5(1)/(2)` is the solution

Explanation:

Given

`3x - 1 = 5x + 10` --- Correct expression

`x = -5(1)/(2)`

Required

Determine if the given solution is correct

To do this, we simply solve for x in the given equation.

So, we have:

`3x - 1 = 5x + 10`

Collect like terms

`3x - 5x = 1 + 10`

`-2x = 11`

Divide both sides by -2

`(-2x)/(-2) = (11)/(-2)`

`x = -(11)/(2)`

`x = -5(1)/(2)`