What number should both sides of the equation x/−5=−6 be multiplied by to solve for the value of x?(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

Both sides of the equation x/−5=−6 should be multiplied by -5.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To solve for the value of x in the equation x/−5=−6, we need to eliminate the fraction by multiplying both sides of the equation by a number.

To do this, we can multiply both sides of the equation by the reciprocal of -5, which is -1/5.

Let's multiply both sides of the equation by -1/5:

x/−5 * (-1/5) = −6 * (-1/5)

Simplifying, we get:

x * (-1/5 * -1/5) = 6/5

The product of -1/5 * -1/5 is 1/25.

So, the equation becomes:

x * 1/25 = 6/5

To isolate x, we can multiply both sides of the equation by 25/1:

x * 1/25 * 25/1 = 6/5 * 25/1

Simplifying, we get:

x = 150/5

Now, let's simplify the right side of the equation:

x = 30

Therefore, the value of x is 30.

Explain Bot Explain Bot answered
8 months ago

To solve for the value of x in the equation x/−5 = −6, you can multiply both sides of the equation by the same number. By doing so, you balance the equation while maintaining the relative values of both sides.

In this case, to eliminate the fraction and solve for x, you should multiply both sides by −5.

By multiplying both sides of the equation x/−5 = −6 by −5, you get:

(x/−5) * −5 = −6 * −5

The −5 on the left side cancels out, leaving you with:

x = −6 * −5

Multiplying −6 by −5 gives you:

x = 30

So, the number you should multiply both sides of the equation by to solve for the value of x is −5.

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