Question Solve the equation $-14=-x$ using the multiplication property of equality, and check the solution.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is -14 = -x. We are using the multiplication property of equality, which states that if you multiply both sides of an equation by the same number, the equation remains true.

STEP 2

We can see that the variable x is being multiplied by -1 in the equation. To isolate x, we need to multiply both sides of the equation by -1.
$-1 \cdot -14 = -1 \cdot -x$

STEP 3

Perform the multiplication on both sides of the equation.
$14 = x$

STEP 4

Now, we need to check our solution. We do this by substituting the solution back into the original equation and ensuring that both sides of the equation remain equal.
Substitute x =14 into the original equation -14 = -x.
$-14 = -14$

STEP 5

After substituting, we see that both sides of the equation are equal, which confirms that x =14 is the correct solution to the equation.
So, the solution to the equation -14 = -x is x =14.

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Question Solve the equation $-14=-x$ using the multiplication property of equality, and check the solution.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is -14 = -x. We are using the multiplication property of equality, which states that if you multiply both sides of an equation by the same number, the equation remains true.

STEP 2

We can see that the variable x is being multiplied by -1 in the equation. To isolate x, we need to multiply both sides of the equation by -1.
$-1 \cdot -14 = -1 \cdot -x$

STEP 3

Perform the multiplication on both sides of the equation.
$14 = x$

STEP 4

Now, we need to check our solution. We do this by substituting the solution back into the original equation and ensuring that both sides of the equation remain equal.
Substitute x =14 into the original equation -14 = -x.
$-14 = -14$

STEP 5

After substituting, we see that both sides of the equation are equal, which confirms that x =14 is the correct solution to the equation.
So, the solution to the equation -14 = -x is x =14.

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Question Solve the equation −14=−x-14=-x−14=−x using the multiplication property of equality, and check the solution.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is -14 = -x. We are using the multiplication property of equality, which states that if you multiply both sides of an equation by the same number, the equation remains true.

STEP 2

We can see that the variable x is being multiplied by -1 in the equation. To isolate x, we need to multiply both sides of the equation by -1.−1⋅−14=−1⋅−x-1 \cdot -14 = -1 \cdot -x−1⋅−14=−1⋅−x

STEP 3

Perform the multiplication on both sides of the equation.14=x14 = x14=x

STEP 4

Now, we need to check our solution. We do this by substituting the solution back into the original equation and ensuring that both sides of the equation remain equal.Substitute x =14 into the original equation -14 = -x.−14=−14-14 = -14−14=−14

STEP 5

After substituting, we see that both sides of the equation are equal, which confirms that x =14 is the correct solution to the equation.So, the solution to the equation -14 = -x is x =14.

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Studdy solves anything!

Start learning now

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

Question Solve the equation $-14=-x$ using the multiplication property of equality, and check the solution.

We can see that the variable x is being multiplied by -1 in the equation. To isolate x, we need to multiply both sides of the equation by -1.
$-1 \cdot -14 = -1 \cdot -x$

Perform the multiplication on both sides of the equation.
$14 = x$

Now, we need to check our solution. We do this by substituting the solution back into the original equation and ensuring that both sides of the equation remain equal.
Substitute x =14 into the original equation -14 = -x.
$-14 = -14$

After substituting, we see that both sides of the equation are equal, which confirms that x =14 is the correct solution to the equation.
So, the solution to the equation -14 = -x is x =14.