Question

1/4 + 1/2 + x = −3/4

Solve for x.

(1/4 is one fourth, 1/2 is one half, -3/4 is negative three fourths)

Answer 1

x = -7/4

Explanation:

Identify the LCD (it is 4) and mult. all terms of the given equation by it:

1 + 2 + 4x = -3

Then: 4x = -3 -2 -1, or 4x = -7. Therefore, x = -7/4.

Answer 2

1/4 + 1/2 + x = −3/4

get a common denominator 1/4

1/4 +2/4 +x = -3/4

combine like terms

3/4 +x =-3/4

subtract 3/4 from each side

x = -3/4 -3/4

x = -6/4

divide top and bottom by 2

x = -3/2

x = -1 1/2

Answer : x = -1 1/2