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valkas [14]
2 years ago
9

Please help me with 20 through 22 please I really appreciate it! Thank you very much!

Mathematics
1 answer:
Ivahew [28]2 years ago
6 0

Answer:

20. 2x+y

21. 4

22. x+y

Step-by-step explanation:

20. <u>9</u><u>x</u><u>+</u><u>2</u><u>y</u><u> </u>- <u>x-2</u><u>y</u><u> </u><u> </u> find your LCM

4 4

=<u>(</u><u>9</u><u>x</u><u>+</u><u>2</u><u>y</u><u>)</u><u>-</u><u>(</u><u>x-2y</u><u>)</u><u> </u> clear bracket

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>4

=<u>9</u><u>x</u><u>+</u><u>2</u><u>y</u><u>-</u><u>x</u><u>+</u><u>2</u><u>y</u><u> </u> collect terms

4

=<u>9</u><u>x</u><u>-</u><u>x</u><u>+</u><u>2</u><u>y</u><u>+</u><u>2</u><u>y</u>

<u> </u> 4

=<u>8</u><u>x</u><u>+</u><u>4</u><u>y</u><u> </u> factorize

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>4

=<u>4</u><u>(</u><u>2</u><u>x</u><u>+</u><u>y</u><u>)</u>

<u> </u><u> </u> 4

=2x+y

with this, you will understand the following

21. <u>4</u><u>x</u> + <u>8</u><u>y</u>

x+2y x+2y

=<u>4</u><u>x</u><u>+</u><u>8</u><u>y</u>

x+2y

=<u>4(x+2y)</u>

x+2y

=4

22. <u>2</u><u>x</u><u>-</u><u>y</u><u> </u>+ <u>2</u><u>x</u><u>+</u><u>5</u><u>y</u>

4 4

=<u>2</u><u>x</u><u>-</u><u>y</u><u>+</u><u>2</u><u>x</u><u>+</u><u>5</u><u>y</u>

4

=<u>4</u><u>x</u><u>+</u><u>4</u><u>y</u>

4

=<u>4(</u><u>x</u><u>+</u><u>y</u><u>)</u>

4

=x+y

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\huge\color{black}\underline\mathbb{\:ANSWER}

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