Systems of Equations - Substitution

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What is the first step in solving 4(x - 2) + 5x = 10?



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4x - 8 + 5x = 10

4x - 2 + 5x = 10

4(x - 2) = 10 - 5x

Drag and Drop

What is the next step in solving 4x - 8 + 5x = 10?



​

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9x - 8  = 10

- 2 - 5x = 10

x - 2 = 10

Multiple Choice

Solve for x: 4(x - 2) + 5x = 10

• 0

• -2

• 4

• 2

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What is the first step in solving 7x - 5 = 2(3 - 3x)? ​ ​

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distribute the 2

move the 3x

add 5

move the 7x

Drag and Drop

Why is it smarter to "move" the -6x instead of the 7x for the next step:



7x - 5 = 6 - 6x



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move the "smaller," x.

WRONG! move the -5 first

because it is on the right.

because it is 6.

Multiple Choice

Solve 7x - 5 = 2(3 - 3x). ​ ​

• 6

• no solution, it's a fraction

• $$\frac{11}{13}$$

• $$\frac{13}{11}$$

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Multiple Choice

How do you know if a point is a solution to an equation?

• It makes the equation true.

• It's on the coordinate plane.

• You can substitute it.

• If it is the answer you get.

Multiple Choice

How do you know if a point is a solution to a system of equations?

• It makes the equation true.

• It makes both equations true.

• It makes at least one answer true.

• If it is the answer you get.

Multiple Choice

Select which type of substitution method best fits this system:

Multiple Choice

Select which type of substitution method best fits this system:

Multiple Choice

Select which type of substitution method best fits this system:

Drag and Drop

Solve the system.

The x - coordinate is ​​

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.

The y - coordinate is ​

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.

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2

11

-11

-2

0

4

Drag and Drop

Solve the system.

The x - coordinate is ​

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The y - coordinate is ​

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4

3

-11

-2

0

2

Drag and Drop

Solve the system.

The x - coordinate is ​

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The y - coordinate is ​

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-3

-2

-11

0

2

4

Drag and Drop

Solve the system.

The x - coordinate is ​ ​

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The y - coordinate is ​

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0

-2

-11

2

4

3