What is the solution of the equation 8/5x = −10 ?(1 point)
Responses
−1/16
negative Start Fraction 1 over 16 End Fraction
−16
negative 16
−5/8
negative Start Fraction 5 over 8 End Fraction
−2/54
The solution of the equation 8/5x = -10 is -5/8.
To find the solution of the equation 8/5x = -10, you need to isolate the variable x.
Step 1: Multiply both sides of the equation by 5 to eliminate the fraction:
(8/5)x * 5 = -10 * 5
This simplifies to:
8x = -50
Step 2: Divide both sides of the equation by 8 to solve for x:
(8x)/8 = -50/8
This simplifies to:
x = -50/8
Now, we need to simplify the fraction. The numerator, -50, and the denominator, 8, have a common factor of 2. Divide both the numerator and denominator by 2:
(-50/2)/(8/2) = -25/4
So, the solution to the equation 8/5x = -10 is x = -25/4.
To find the solution of the equation 8/5x = -10, we need to isolate the variable x.
First, we can start by multiplying both sides of the equation by 5/8 to eliminate the fraction on the left side.
(5/8) * (8/5x) = (5/8) * (-10)
This simplifies to:
1x = -50/8
Next, we can simplify the right side.
-50/8 can be further simplified by dividing both the numerator and denominator by the greatest common divisor, which is 2.
(-50/2) / (8/2) = -25/4
Therefore, the solution to the equation 8/5x = -10 is x = -25/4.