What is the solution of the equation 5/2x = −1/8 ?(1 point) Responses 120 Start Fraction 1 over 20 End Fraction −20 negative 20 −120 negative Start Fraction 1 over 20 End Fraction −516 negative Start Fraction 5 over 16 End Fraction
To solve the equation 5/2x = -1/8, we can cross-multiply:
(5/2)x = -1/8
Multiply both sides by 8 to get rid of the fraction:
8 * (5/2)x = 8 * (-1/8)
Please note that when you multiply a fraction by a whole number, you can multiply the numerator (top) by that number.
(8/1) * (5/2)x = -8/8
Now we can simplify further:
20x = -1
To solve for x, divide both sides by 20:
(20x)/20 = -1/20
x = -1/20
So, the solution to the equation is x = -1/20.
To solve the equation 5/2x = -1/8, we can cross-multiply.
First, multiply both sides of the equation by 8 to eliminate the denominator:
8 * (5/2x) = 8 * (-1/8)
This simplifies to:
40/2x = -1
Next, simplify the left side of the equation by dividing both numerator and denominator by 2:
20/x = -1
Now, multiply both sides of the equation by x to isolate the variable:
(20/x) * x = -1 * x
The x's cancel out on the left side, leaving:
20 = -x
To isolate x, multiply both sides of the equation by -1:
-1 * 20 = -1 * -x
This simplifies to:
-20 = x
Therefore, the solution to the equation 5/2x = -1/8 is x = -20.
To find the solution to the equation 5/2x = -1/8, you can follow these steps:
Step 1: Multiply both sides of the equation by 8 to eliminate the denominator on the right side of the equation. This gives us:
8 * (5/2x) = 8 * (-1/8)
Step 2: Simplify the expression on the left side and right side of the equation:
40/2x = -1
Step 3: Divide both sides of the equation by 40 to isolate the variable x:
(40/2x) ÷ 40 = -1 ÷ 40
Simplifying this further:
1/2x = -1/40
Step 4: Multiply both sides of the equation by 2 to isolate x:
2 * (1/2x) = 2 * (-1/40)
Simplifying:
1/x = -2/40
Step 5: Simplify the right side of the equation:
1/x = -1/20
From this equation, we can say that the solution to the given equation is x = -1/20.