What is the solution of the equation x − 9/4 = −3/8
To solve the equation x - 9/4 = -3/8, we want to isolate the variable x on one side of the equation.
First, let's simplify the equation by finding a common denominator for 4 and 8, which is 8.
x - (9/4) = -(3/8)
Multiply each term in the equation by 8 to eliminate the denominators:
8x - (8)(9/4) = -(8)(3/8)
8x - 18/4 = -3
Now, simplify the equation further:
8x - 18/4 = -3
To simplify the fraction 18/4, divide 18 by 4:
8x - 4.5 = -3
Next, add 4.5 to both sides of the equation to isolate the variable x:
8x - 4.5 + 4.5 = -3 + 4.5
8x = 1.5
Finally, divide both sides of the equation by 8:
8x/8 = 1.5/8
x = 0.1875
Therefore, the solution to the equation x - 9/4 = -3/8 is x = 0.1875.
To find the solution of the equation x - 9/4 = -3/8, we can follow these steps:
Step 1: Move the constant term to the other side of the equation.
Add 9/4 to both sides of the equation:
x - 9/4 + 9/4 = -3/8 + 9/4
This simplifies to:
x = -3/8 + 9/4
Step 2: Simplify the right side of the equation by finding a common denominator.
The denominators are 8 and 4, so the least common multiple would be 8.
Therefore, we need to convert 9/4 to an equivalent fraction with a denominator of 8.
Multiply both the numerator and denominator by 2 to get:
9/4 = (9 * 2) / (4 * 2) = 18/8
Now, the equation becomes:
x = -3/8 + 18/8
Step 3: Combine the like terms on the right side, which have the same denominator.
x = (-3 + 18) / 8
Simplifying further, we have:
x = 15/8
Thus, the solution to the equation x - 9/4 = -3/8 is x = 15/8.
To find the solution to the equation x − 9/4 = −3/8, we can follow these steps:
Step 1: Simplify the equation by adding 9/4 to both sides:
x − 9/4 + 9/4 = −3/8 + 9/4
This simplifies to:
x = (−3/8 + 9/4)
Step 2: Combine the fractions with a common denominator:
x = (−3/8 + 18/8)
Step 3: Add the numerators and keep the denominator the same:
x = 15/8
Therefore, the solution to the equation is x = 15/8.