solve each equation. write each equation in simplest form. 7x/8=21
7x/8=21
divide both sides by 7
x/8 = 3
multiply both sides by 8
x = 24
To solve the equation 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 step will eliminate the fraction.
(8/7) * (7x/8) = (8/7) * 21.
On the left side, the (8/7) and the 7 in the numerator and denominator will cancel out, leaving just x:
x = (8/7) * 21.
Step 2: Perform the multiplication on the right side:
x = 168/7.
Step 3: Simplify the fraction 168/7 by dividing the numerator by the denominator:
x = 24.
Therefore, the solution to the equation 7x/8 = 21 is x = 24.
To solve the equation 7x/8 = 21, we can isolate the variable x by multiplying both sides of the equation by the reciprocal of 7/8, which is 8/7.
(7x/8) * (8/7) = 21 * (8/7)
The 8 from the numerator of the fraction on the left side cancels out with the 8 from the denominator on the right side, and the 7 from the denominator on the left side cancels out with the 7 from the numerator on the right side.
x = 21 * (8/7)
Now, we can simplify the fraction on the right side:
x = (21 * 8) / 7
Multiplying 21 and 8 gives us 168, so the equation simplifies to:
x = 168 / 7
Finally, we can simplify the division:
x = 24
Therefore, the solution to the equation 7x/8 = 21 is x = 24.