Solve the equation. Write each answer as a mixed number or as afraction in simplest form. x - 2 1/4 = -3 *
A- x = 3/4
B- x = -5 1/4
C- x = -3/4
D- x = 5 1/4
C. -3/4
Thanks again!!
To solve the equation x - 2 1/4 = -3, we need to isolate the variable x.
First, let's add 2 1/4 to both sides of the equation:
x - 2 1/4 + 2 1/4 = -3 + 2 1/4
Simplifying, we have:
x = -1 1/4
So, the answer to the equation x - 2 1/4 = -3 is:
B- x = -1 1/4
Note: None of the given options match the correct answer.
To solve the equation, we need to isolate the variable x.
Given equation: x - 2 1/4 = -3
First, let's add 2 1/4 to both sides of the equation to eliminate the term on the left side:
x - 2 1/4 + 2 1/4 = -3 + 2 1/4
Simplifying the left side, 2 1/4 + 2 1/4 equals 4 1/4:
x - 4 1/4 = -3 + 2 1/4
Next, we can simplify the right side of the equation: -3 + 2 1/4 is equal to -3 + 9/4:
x - 4 1/4 = - 12/4 + 9/4
Combining the like terms on the right side, - 12/4 + 9/4 equals - 3/4:
x - 4 1/4 = - 3/4
Now, let's add 4 1/4 to both sides of the equation to isolate the variable:
x - 4 1/4 + 4 1/4 = - 3/4 + 4 1/4
Simplifying the left side, 4 1/4 + 4 1/4 equals 8 2/4, which simplifies to 8 1/2:
x = - 3/4 + 8 1/2
Next, let's simplify the right side of the equation: - 3/4 + 8 1/2 is equal to - 3/4 + 17/2:
x = - 3/4 + 17/2
Now, we need to find a common denominator for - 3/4 and 17/2. The least common denominator (LCD) is 4:
x = - 3/4 + (17/2) * (2/2)
x = - 3/4 + 34/4
Combining the numerators, we have:
x = (34 - 3)/4
x = 31/4
Finally, we can express the answer as a mixed number by dividing the numerator (31) by the denominator (4):
31 divided by 4 equals 7, with a remainder of 3. Hence, the mixed number is 7 3/4.
Therefore, the answer is B: x = -5 1/4.