Solve each equation. Write each equation in simplest form.
Start Fraction 7 x over 8 End Fraction = 21
A. 24
B. 18.375
C. 1.857
D. 19
7 x / 8 = 21 ????
7 x = 168
x = 168 / 7
To solve the equation Start Fraction 7x/8 = 21, we can follow these steps:
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 8/7. This cancels out the coefficient on the left side and gives us:
Start Fraction 7x/8 × 8/7 = 21 × 8/7
Simplifying, we get:
x = 168/7
Step 2: Simplify the resulting fraction. 168/7 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 7:
x = 24
So the solution to the equation 7x/8 = 21 is x = 24. Therefore, the correct answer is A. 24.