Solve the equation.
Three-fourths times x equals 9.
(1 point)
Responses
x equals 12.
Image with alt text: x equals 12.
x equals 108.
Image with alt text: x equals 108.
x equals 72.
Image with alt text: x equals 72.
x equals four-ninths.
To solve the equation, we need to isolate x.
Three-fourths times x equals 9 can be written as:
(3/4)x = 9
To isolate x, we can multiply both sides of the equation by the reciprocal of (3/4), which is (4/3):
(4/3)(3/4)x = (4/3)(9)
Simplifying:
1x = 12
Therefore, x equals 12.
To solve the equation, "Three-fourths times x equals 9," you can follow these steps:
Step 1: Start with the equation:
(3/4) * x = 9
Step 2: To isolate x, divide both sides of the equation by the coefficient 3/4:
x = 9 / (3/4)
Step 3: To divide by a fraction, multiply by its reciprocal. The reciprocal of (3/4) is (4/3).
x = 9 * (4/3)
Step 4: Simplify the expression:
x = (36/3)
x = 12
Therefore, the solution to the equation is x = 12.