What is the solution of the equation 8/5x = −10 ?(1 point)
Responses
−5/8
negative Start Fraction 5 over 8 End Fraction
−116
negative Start Fraction 1 over 16 End Fraction
−254
negative Start Fraction 25 over 4 End Fraction
−16
To solve the equation 8/5x = -10, you can begin by multiplying both sides of the equation by the reciprocal of 8/5, which is 5/8. This will eliminate the fraction.
By doing this, we get:
(8/5x) * (5/8) = -10 * (5/8)
Simplifying the left side of the equation, we have:
(8 * 5)/(5 * 8) * x = -10 * (5/8)
This simplifies to:
1 * x = -50/8
Further simplifying, we have:
x = -50/8
The solution to the equation 8/5x = -10 is x = -50/8.
To find the solution of the equation 8/5x = -10, we need to isolate the variable x.
Step 1: Multiply both sides of the equation by 5/8 to cancel out the coefficient of x on the left side.
(8/5x) * (5/8) = -10 * (5/8)
This simplifies to:
x = -50/8
Step 2: Simplify the right side of the equation.
-50/8 can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
x = -25/4
Therefore, the solution of the equation 8/5x = -10 is x = -25/4.