Solved on Dec 14, 2023

Solve for $x$ in the equation $6x = 42$ .

STEP 1

Assumptions
1. We have a linear equation in one variable.
2. The equation is $6x = 42$ .
3. We need to solve for $x$ .

STEP 2

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $x$ , which is 6.
$\frac{6x}{6} = \frac{42}{6}$

STEP 3

Perform the division on both sides of the equation.
$x = \frac{42}{6}$

STEP 4

Calculate the value of $x$ .
$x = 7$

STEP 5

Now that we have the solution $x = 7$ , we should check our solution by substituting $x$ back into the original equation to verify that it satisfies the equation.
$6x = 42$
$6(7) = 42$

STEP 6

Perform the multiplication to check the solution.
$42 = 42$

STEP 7

Since both sides of the equation are equal, our solution $x = 7$ is correct.
The solution is $x = 7$ .

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Solve for $x$ in the equation $6x = 42$ .

STEP 1

Assumptions
1. We have a linear equation in one variable.
2. The equation is $6x = 42$ .
3. We need to solve for $x$ .

STEP 2

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $x$ , which is 6.
$\frac{6x}{6} = \frac{42}{6}$

STEP 3

Perform the division on both sides of the equation.
$x = \frac{42}{6}$

STEP 4

Calculate the value of $x$ .
$x = 7$

STEP 5

Now that we have the solution $x = 7$ , we should check our solution by substituting $x$ back into the original equation to verify that it satisfies the equation.
$6x = 42$
$6(7) = 42$

STEP 6

Perform the multiplication to check the solution.
$42 = 42$

STEP 7

Since both sides of the equation are equal, our solution $x = 7$ is correct.
The solution is $x = 7$ .

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Solve for xxx in the equation 6x=426x = 426x=42.

STEP 1

Assumptions1. We have a linear equation in one variable.2. The equation is 6x=426x = 426x=42.3. We need to solve for xxx.

STEP 2

To solve for xxx, we need to isolate xxx on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of xxx, which is 6.6x6=426\frac{6x}{6} = \frac{42}{6}66x​=642​

STEP 3

Perform the division on both sides of the equation.x=426x = \frac{42}{6}x=642​

STEP 4

Calculate the value of xxx.x=7x = 7x=7

STEP 5

Now that we have the solution x=7x = 7x=7, we should check our solution by substituting xxx back into the original equation to verify that it satisfies the equation.6x=426x = 426x=426(7)=426(7) = 426(7)=42

STEP 6

Perform the multiplication to check the solution.42=4242 = 4242=42

STEP 7

Since both sides of the equation are equal, our solution x=7x = 7x=7 is correct.The solution is x=7x = 7x=7.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for $x$ in the equation $6x = 42$ .

Assumptions
1. We have a linear equation in one variable.
2. The equation is $6x = 42$ .
3. We need to solve for $x$ .

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $x$ , which is 6.
$\frac{6x}{6} = \frac{42}{6}$

Perform the division on both sides of the equation.
$x = \frac{42}{6}$

Calculate the value of $x$ .
$x = 7$

Now that we have the solution $x = 7$ , we should check our solution by substituting $x$ back into the original equation to verify that it satisfies the equation.
$6x = 42$
$6(7) = 42$

Perform the multiplication to check the solution.
$42 = 42$

Since both sides of the equation are equal, our solution $x = 7$ is correct.
The solution is $x = 7$ .