What is the solution of the equation x − 9/4 = −3/8 ?(1 point)

1 answer

To find the solution of the equation x - 9/4 = -3/8, we need to isolate x.

First, let's add 9/4 to both sides of the equation:
x - 9/4 + 9/4 = -3/8 + 9/4
x = (9/4) - (3/8)

Next, let's find a common denominator for the fractions on the right side of the equation. The least common multiple of 4 and 8 is 8.

Multiplying (9/4) by 2/2 and multiplying (3/8) by 1/1, we have:
x = (18/8) - (3/8)

Combining the fractions, we get:
x = (18 - 3)/8
x = 15/8

Therefore, the solution of the equation x - 9/4 = -3/8 is x = 15/8.