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

Answer 1

To solve the equation \( \frac{x}{-5} = -6 \), you can eliminate the fraction by multiplying both sides of the equation by \(-5\).

Here’s how it works:

1. Multiply both sides by \(-5\): \[ -5 \cdot \left(\frac{x}{-5}\right) = -5 \cdot (-6) \]

2. This simplifies to: \[ x = 30 \]

So, the number that both sides of the equation should be multiplied by is \(-5\).

Answer 2

If 2x=−4 , then what is the value of 8x ?

Answer 3

To find the value of \(8x\) given that \(2x = -4\), we can follow these steps:

1. First, solve for \(x\) from the equation \(2x = -4\): \[ x = \frac{-4}{2} = -2. \]

2. Now, substitute \(x = -2\) into \(8x\): \[ 8x = 8 \cdot (-2) = -16. \]

Therefore, the value of \(8x\) is \(-16\).

Answer 4

What is the solution of the equation −8x = −0.56 ?

Answer 5

To solve the equation \( -8x = -0.56 \), you can divide both sides by \(-8\):

\[ x = \frac{-0.56}{-8}. \]

This simplifies to:

\[ x = \frac{0.56}{8}. \]

Now, calculate \( \frac{0.56}{8} \):

\[ x = 0.07. \]

Thus, the solution of the equation \( -8x = -0.56 \) is \( x = 0.07 \).

Answer 6

What is the solution of the equation 4/3x=−6/5 ?

Answer 7

To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), follow these steps:

1. Isolate \(x\) by multiplying both sides of the equation by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\):

   \[ x = -\frac{6}{5} \cdot \frac{3}{4}. \]

2. Multiply the fractions:

   \[ x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20}. \]

3. Simplify the fraction:

   \[ x = -\frac{18 \div 2}{20 \div 2} = -\frac{9}{10}. \]

Therefore, the solution to the equation \( \frac{4}{3}x = -\frac{6}{5} \) is \( x = -\frac{9}{10} \).