What is the solution of the equation 85x = −10 ?(1 point)
Responses
−58
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 85x = -10, we need to isolate the variable x by performing inverse operations.
First, we can divide both sides of the equation by 85:
(85x)/85 = -10/85
x = -10/85
Simplifying further, we can reduce the fraction by dividing both the numerator and denominator by 5:
x = -2/17
Therefore, the solution to the equation is x = -2/17.
To solve the equation 85x = -10, we need to isolate x.
Step 1: Divide both sides of the equation by 85 to get x alone.
85x/85 = -10/85
x = -10/85
Step 2: Simplify the fraction.
x = -1/8.5
Step 3: Convert the decimal to a fraction.
x = -1/(8.5/1) = -1/(17/2) = -1 * (2/17) = -2/17
Therefore, the solution to the equation 85x = -10 is x = -2/17.
To solve the equation 85x = -10, you need to isolate the variable x.
First, divide both sides of the equation by 85 to get x alone:
85x/85 = -10/85
This simplifies to:
x = -10/85
To determine the simplified fraction, you can simplify the numerator (-10) and denominator (85) separately.
For the numerator (-10), it is already the simplest form.
For the denominator (85), you can simplify it by finding the greatest common divisor (GCD) between 10 and 85, which is 5. Divide both the numerator and denominator by 5 to simplify further:
85 ÷ 5 = 17
10 ÷ 5 = 2
So, the simplified fraction is:
x = -10/85 = -2/17
Therefore, the solution to the equation 85x = -10 is negative Start Fraction 2 over 17 End Fraction.