What number should both sides of the equation x/-5= -6 be multiplied by to solve for the value of x?
Both sides of the equation x/-5 = -6 should be multiplied by -5 to solve for the value of x.
To solve for the value of x in the equation x/-5 = -6, you need to multiply both sides of the equation by the same number. In this case, you need to multiply both sides by -5, because the denominator of x in the equation is -5.
Multiplying both sides of the equation x/-5 = -6 by -5, we get:
(-5)(x/-5) = (-5)(-6)
Simplifying, we have:
(-(5/1))(x/-(5/1)) = -(5)(-6)
On the left side, the -5 in the numerator and denominator of -(5/1) will cancel out, leaving us with:
x = -(5)(-6)
Simplifying further, we have:
x = 30
Therefore, the value of x in the equation x/-5 = -6 is 30.
To solve for the value of x in the equation x/-5 = -6, we need to get rid of the fraction by multiplying both sides of the equation by a number that will cancel out the -5 in the denominator.
Since we want to cancel out the -5, we need to multiply both sides of the equation by the reciprocal or multiplicative inverse of -5, which is -1/5. Whenever you multiply a number by its reciprocal, the result is always 1.
So, let's multiply both sides of the equation by -1/5:
-1/5 * (x/-5) = -1/5 * (-6)
Now, let's simplify:
1/5 * x = 6/5
Since 1/5 * x is equal to x/5, we can rewrite the equation as:
x/5 = 6/5
Now, we need to isolate x by multiplying both sides of the equation by 5:
5 * (x/5) = 5 * (6/5)
Simplifying further:
x = 6
Therefore, the value of x in the equation x/-5 = -6 is x = 6.