A) What is the solution of the equation x − 9/4 = -3/8 ? (1 point)
AS A FRACTION
To solve the equation x - 9/4 = -3/8, we need to isolate x on one side of the equation.
First, let's add 9/4 to both sides of the equation to eliminate the fraction:
x - 9/4 + 9/4 = -3/8 + 9/4
x = (-3 + 18)/8
x = 15/8
Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8 as a fraction.
To find the solution of the equation x - 9/4 = -3/8 as a fraction, we need to isolate the variable x.
Starting equation: x - 9/4 = -3/8
First, let's get rid of the fractions by multiplying every term in the equation by the least common denominator (LCD), which is 8 * 4 = 32.
32(x) - 32(9/4) = 32(-3/8)
32x - 72 = -12
Now, let's isolate the variable x by adding 72 to both sides of the equation.
32x - 72 + 72 = -12 + 72
32x = 60
Finally, divide both sides of the equation by 32 to solve for x.
32x/32 = 60/32
x = 60/32
Therefore, the solution of the equation x - 9/4 = -3/8 as a fraction is x = 60/32.
To find the solution of the equation x − 9/4 = -3/8, we need to isolate the variable x.
First, we can simplify the equation by adding 9/4 to both sides:
x − 9/4 + 9/4 = -3/8 + 9/4
This simplifies to:
x = (9/4) - (3/8)
To subtract these fractions, we need a common denominator. In this case, the common denominator is 8. We can rewrite 9/4 as 18/8:
x = (18/8) - (3/8)
Now that the fractions have the same denominator, we can subtract the numerators:
x = (18 - 3) / 8
This simplifies to:
x = 15/8
Therefore, the solution to the equation x − 9/4 = -3/8 as a fraction is x = 15/8.