To solve the equation 5/8(x - 1/2) = 10, we need to isolate the variable x.
The next step is to multiply both sides of the equation by the reciprocal of 5/8, which is 8/5.
So, the equation becomes:
(8/5)(5/8)(x - 1/2) = (8/5)(10)
Simplifying the equation, we have:
(x - 1/2) = 16
Finally, we can solve for x by adding 1/2 to both sides:
(x - 1/2) + 1/2 = 16 + 1/2
This gives:
x = 16 + 1/2
Therefore, x = 33/2 or x = 16.5.
What number should both sides be divided by?
5/8(x - 1/2) = 10
7 answers
WHAT NUMBER SHOULD BOTH SIDES BE DVIDED BY NOT THE ANSWER TO X
To isolate the variable x in the equation 5/8(x - 1/2) = 10, we can start by dividing both sides of the equation by 5/8.
This gives us:
[(5/8)(x - 1/2)] / (5/8) = 10 / (5/8)
When dividing by a fraction, we can multiply by the reciprocal of that fraction.
So, the equation becomes:
[x - 1/2] * (8/5) = 10 * (8/5)
Simplifying the expression, we have:
8/5 * (x - 1/2) = 80/5
Now, let's distribute 8/5 to the terms inside the parentheses:
8/5 * x - 8/5 * 1/2 = 80/5
Simplifying further, we get:
(8x/5) - (4/5) = 16
So, dividing both sides of the equation by 8/5 is the step to isolate the variable x.
This gives us:
[(5/8)(x - 1/2)] / (5/8) = 10 / (5/8)
When dividing by a fraction, we can multiply by the reciprocal of that fraction.
So, the equation becomes:
[x - 1/2] * (8/5) = 10 * (8/5)
Simplifying the expression, we have:
8/5 * (x - 1/2) = 80/5
Now, let's distribute 8/5 to the terms inside the parentheses:
8/5 * x - 8/5 * 1/2 = 80/5
Simplifying further, we get:
(8x/5) - (4/5) = 16
So, dividing both sides of the equation by 8/5 is the step to isolate the variable x.
WHAT IS ONE NUMBER YOU DIVIDE BOTH SIIDES WITH
To isolate the variable x in the equation 5/8(x - 1/2) = 10, we can divide both sides by the coefficient of x, which is 5/8.
Dividing both sides by 5/8, we get:
(5/8(x - 1/2)) / (5/8) = 10 / (5/8)
Simplifying, we have:
x - 1/2 = 10 / (5/8)
Next, we can simplify the expression on the right side:
x - 1/2 = 10 * (8/5)
Simplifying further, we have:
x - 1/2 = 80/5
Finally, to isolate x, we can add 1/2 to both sides of the equation:
(x - 1/2) + 1/2 = (80/5) + 1/2
Simplifying, we get:
x = 80/5 + 1/2
Therefore, the number we divide both sides by in this equation is 5/8.
Dividing both sides by 5/8, we get:
(5/8(x - 1/2)) / (5/8) = 10 / (5/8)
Simplifying, we have:
x - 1/2 = 10 / (5/8)
Next, we can simplify the expression on the right side:
x - 1/2 = 10 * (8/5)
Simplifying further, we have:
x - 1/2 = 80/5
Finally, to isolate x, we can add 1/2 to both sides of the equation:
(x - 1/2) + 1/2 = (80/5) + 1/2
Simplifying, we get:
x = 80/5 + 1/2
Therefore, the number we divide both sides by in this equation is 5/8.
A NUMBER NOT A FRACTION A NUMBER
To isolate the variable x in the equation 5/8(x - 1/2) = 10, we can divide both sides of the equation by 5/8.
Dividing both sides by 5/8 is equivalent to multiplying both sides by the reciprocal of 5/8, which is 8/5.
So, multiplying both sides by 8/5, we get:
(8/5) * (5/8)(x - 1/2) = (8/5) * 10
Simplifying, we have:
x - 1/2 = (8/5) * 10
To simplify further, we can multiply 8/5 by 10:
x - 1/2 = (8/5) * 10 = 80/5
Now, to isolate x, we can add 1/2 to both sides of the equation:
(x - 1/2) + 1/2 = 80/5 + 1/2
Simplifying, we get:
x = 80/5 + 1/2
Therefore, the number we divide both sides by in this equation is 5/8.
Dividing both sides by 5/8 is equivalent to multiplying both sides by the reciprocal of 5/8, which is 8/5.
So, multiplying both sides by 8/5, we get:
(8/5) * (5/8)(x - 1/2) = (8/5) * 10
Simplifying, we have:
x - 1/2 = (8/5) * 10
To simplify further, we can multiply 8/5 by 10:
x - 1/2 = (8/5) * 10 = 80/5
Now, to isolate x, we can add 1/2 to both sides of the equation:
(x - 1/2) + 1/2 = 80/5 + 1/2
Simplifying, we get:
x = 80/5 + 1/2
Therefore, the number we divide both sides by in this equation is 5/8.
1 answer