Solving Equations by Multiplication Division Practice

To solve the equation $-6x = 18$, we need to isolate the variable $x$.

Our equation is:

$-6x = 18$

The variable $x$ is multiplied by $-6$. To undo this operation and solve for $x$, we divide both sides of the equation by $-6$. This will isolate $x$ on one side of the equation:

$\frac{-6x}{-6} = \frac{18}{-6}$

Simplifying both sides, we find:

$x = -3$

Thus, the solution to the equation $-6x = 18$ is $x = -3$.

Therefore, the correct answer is $x = -3$.

To solve the equation $-7y = -27$, we need to isolate the variable $y$. We do this by performing the following steps:

• Step 1: Divide both sides of the equation by $-7$ to solve for $y$.

Performing this operation gives us:

Simplifying both sides, we have:

To express $\frac{27}{7}$ as a mixed number, we divide 27 by 7:

• 27 divided by 7 equals 3 with a remainder of 6. Hence, $\frac{27}{7} = 3\frac{6}{7}$.

Therefore, the solution to the equation is $y = 3\frac{6}{7}$.

Among the given choices, option 1 matches our result.

Therefore, the solution to the problem is $y = 3\frac{6}{7}$.

To solve the equation $6x = -12.6$, we need to isolate $x$. We achieve this by performing the following steps:

• Step 1: Identify the coefficient of $x$, which is $6$. We aim to isolate $x$ by dividing both sides of the equation by $6$.
• Step 2: Divide both sides of the equation by $6$ to solve for $x$. This will eliminate the coefficient and reveal the value of $x$.

Let's perform these calculations:

$\frac{6x}{6} = \frac{-12.6}{6}$

Simplifying both sides gives:

$x = -2.1$

Therefore, the solution to the equation is $\boldsymbol{x = -2.1}$.

We begin by multiplying the simple fraction by y:

$\frac{-1}{5}\times y=-25$

We then reduce both terms by $-\frac{1}{5}$

$y=\frac{-25}{-\frac{1}{5}}$

Finally we multiply the fraction by negative 5:

$y=-25\times(-5)=125$

The goal is to solve the equation $4 = 3y$ to find the value of $y$. To do this, we can follow these steps:

• Step 1: Divide both sides of the equation by 3 to isolate $y$.
• Step 2: Simplify the result to solve for $y$.

Now, let's work through the solution:

Step 1: We start with the equation:

$4 = 3y$

To solve for $y$, divide both sides by 3:

$y = \frac{4}{3}$

Step 2: Simplify the fraction:

$y = \frac{4}{3} = 1 \frac{1}{3}$

Therefore, the solution to the equation is $y = 1 \frac{1}{3}$.

This corresponds to choice $y = 1\frac{1}{3}$ in the provided multiple-choice answers.