Solve Linear Equations with Rational Number Coefficients: CCSS.Math.Content.8.EE.C.7b - Common Core: 8th Grade Math

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Question

Solve for .

Answer

Subtract x from both sides of the second equation.

Divide both sides by to get .

Plug in y to the other equation.

Divide 10 by 5 to eliminate the fraction, yielding .

Distribute the 2 to get .

Add to each side, and subtract 15 from each side to get .

Divide both sides by 7 to get , which simplifies to .

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Question

Solve for :

Answer

can be simplified to become

Then, you can further simplify by adding 5 and to both sides to get .

Then, you can divide both sides by 5 to get .

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Question

Solve for :

Answer

First, you must multiply the left side of the equation using the distributive property.

This gives you .

Next, subtract from both sides to get .

Then, divide both sides by to get .

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Question

Solve for :

Answer

Combine like terms on the left side of the equation:

Use the distributive property to simplify the right side of the equation:

Next, move the 's to one side and the integers to the other side:

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Question

Solve for :

Answer

To solve for , you must first combine the 's on the right side of the equation. This will give you .

Then, subtract and from both sides of the equation to get .

Finally, divide both sides by to get the solution .

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Question

Solve for :

Answer

First. combine like terms to get

.

Then, add and subtract from both sides to separate the terms.

This gives you .

Finally, divide both sides by to get a solution of .

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Question

Solve for :

Answer

First, combine like terms within the equation to get

.

Then, add and subtract from both sides to get

.

Finally, divide both sides by to get the solution of .

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to subtract from each side:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to subtract from each side:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to combine like terms, so we subtract from both sides:

Finally, we can divide by both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to combine like terms, so we add to both sides:

Finally, we can divide by both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to combine like terms, so we add to both sides:

Finally, we can divide by both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we need to multiply each side by

Next, we need to combine like terms, so we subtract from both sides:

Finally, we can divide by both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we want to combine like terms. Let's start by moving the values to one side:

Next, we can subtract from both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, we want to combine like terms. Let's start by moving the values to one side:

Next, we can subtract from both sides:

Finally, we divide from both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, the first thing we want to do is distribute the :

Next, we can subtract from both sides:

Finally, we divide from both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, the first thing we want to do is distribute the :

Next, we can subtract from both sides:

Finally, we divide from both sides:

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Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, the first thing we want to do is distribute the :

Next, we can subtract from both sides:

Finally, we divide from both sides:

Compare your answer with the correct one above

Question

Solve for

Answer

In order to solve for , we need to isolate the to one side of the equation.

For this problem, the first thing we want to do is distribute the :

Next, we can subtract from both sides:

Finally, we divide from both sides:

Compare your answer with the correct one above

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