Question

Explain the process to solve the equation. Use proper

vocabulary in your explanation.
1/4x=-5/6

Answer 1

Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by

1

4 by multiplying by the reciprocal, 4. (−

5

8)(4) is −

5

2. Use substitution to check the answer. x = −

5

2

Explanation:

Answer 2

x = -24/5

Explanation:

1/4x=-5/6

as 4 is multiplied to x on the left hand side, if we shift 1/4 to the right hand side the equation becomes:

6/-5=4x

now the 4 multiplied to x moves to the left hand side:

(6/-5)x4 =x

x = -24/5

If you need further clarification, please feel free to ask