What number should both sides of the equation x/-5 = -6 be multiplied by to solve for the value of x?
To solve for the value of x in the equation x/-5 = -6, both sides of the equation must be multiplied by -5.
To solve for the value of x in the equation x/-5 = -6, you need to multiply both sides of the equation by -5.
Here are the steps:
Step 1: Start with the equation x/-5 = -6.
Step 2: Multiply both sides of the equation by -5 to eliminate the fraction. (x/-5) * -5 = -6 * -5.
Step 3: Simplify: x = 30.
Therefore, you should multiply both sides of the equation by -5 to solve for the value of x.
To solve for the value of x in the equation x/-5 = -6, we need to isolate the variable x by getting rid of the fraction. We can do this by multiplying both sides of the equation by the reciprocal of the fraction's denominator, which in this case is -5.
To find the reciprocal of -5, we simply divide 1 by -5, which gives us -1/5. Therefore, we can multiply both sides of the equation x/-5 = -6 by -1/5 to cancel out the denominator.
(-1/5) * (x/-5) = (-1/5) * (-6)
When we multiply the left side of the equation by -1/5, the -5 in the denominator cancels out:
(-1/5) * (x/-5) = (1/1) * (x/1)
Now, we have:
(x/-1) = (-6/5)
Simplifying further, we can write:
-x = -6/5
To solve for x, we can multiply both sides of the equation by -1 to eliminate the negative sign:
-x * -1 = (-6/5) * -1
This results in:
x = 6/5
Therefore, when both sides of the equation x/-5 = -6 are multiplied by -1/5, the value of x is 6/5.