What is the solution of the equation 8/5 * x = - 10 (1 point)
- 5/8
- 21/4
- 1/16
-16
To solve the equation 8/5 * x = -10, you can divide both sides of the equation by 8/5 to isolate x.
(8/5 * x) / (8/5) = (-10) / (8/5)
x = (-10) / (8/5)
To divide by a fraction, you can multiply by its reciprocal. Therefore, x is equal to:
x = (-10) * (5/8)
Multiplying -10 by 5 gives -50, and multiplying 8 by 1 gives 8. Therefore,
x = -50/8
Which can be simplified to:
x = -25/4
So the solution to the equation is:
- 25/4
The closest option to this answer is -21/4.
To find the solution of the equation 8/5 * x = -10, we can follow these steps:
Step 1: To isolate the variable x, divide both sides of the equation by 8/5 (or multiply both sides by the reciprocal of 8/5, which is 5/8). This gives us:
x = -10 * (5/8)
Step 2: Simplify the right side of the equation:
x = -50/8
Step 3: Simplify the fraction:
x = -25/4
So, the solution to the equation 8/5 * x = -10 is -25/4, which is option -21/4.
To find the solution of the equation 8/5 * x = -10, we need to isolate the variable x by applying inverse operations.
First, we want to get rid of the coefficient of x, which is 8/5.
To do this, we'll multiply both sides of the equation by the reciprocal (or multiplicative inverse) of 8/5, which is 5/8.
(8/5 * x) * (5/8) = -10 * (5/8)
The multiplication of the reciprocals on the left side of the equation cancels out the coefficient, leaving us with:
x = -50/8
Now, we simplify the right side of the equation:
-50/8 can be reduced by dividing both the numerator and denominator by 2:
x = -25/4
So, the solution to the equation 8/5 * x = -10 is x = -25/4, which corresponds to option B: -21/4.