What is the solution of the equation x − 9/4 = −3/8 ?(1 point)blank
The solution to the equation x - 9/4 = -3/8 is x = 3/8.
To solve the equation x - 9/4 = -3/8, we can follow these steps:
Step 1: Add 9/4 to both sides of the equation to isolate x. This gives us:
x - 9/4 + 9/4 = -3/8 + 9/4
Simplifying, we get:
x = -3/8 + 9/4
Step 2: Convert the fractions to a common denominator. The common denominator for 8 and 4 is 8, so we have:
x = -3/8 + (9/4) * (2/2)
Simplifying further, this becomes:
x = -3/8 + 18/8
Step 3: Combine the numerators over the common denominator:
x = (-3 + 18)/8
Simplifying the numerator, we have:
x = 15/8
So, the solution to the equation x - 9/4 = -3/8 is x = 15/8.
To find the solution of the equation x - 9/4 = -3/8, you need to isolate the variable x. Here's how to do it step by step:
Step 1: Add 9/4 to both sides of the equation to eliminate the -9/4 on the left side:
x - 9/4 + 9/4 = -3/8 + 9/4
x = -3/8 + 9/4
Step 2: Convert the fractions on the right side to have a common denominator. In this case, the common denominator is 8:
x = -3/8 + 18/8
Step 3: Add the fractions on the right side:
x = ( -3 + 18 ) / 8
x = 15/8
Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8.