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Ratling [72]
3 years ago
14

Lowest common multiple of 28 and 144

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

<h2>Lowest Common multiple -</h2><h2 /><h2>(L.C.M) is 1008.</h2>

Step-by-step explanation:

<h3><u>2 </u><u>¦</u><u> </u><u> </u><u>28</u><u>,</u><u> </u><u>144</u></h3><h3><u>2</u><u> </u><u>¦</u><u> </u><u> </u><u>14,</u><u> </u><u>72 </u></h3><h3> <u>¦</u><u> </u><u> </u><u> </u><u>7,</u><u> </u><u> </u><u>36</u></h3>

<h3><u>2×</u><u>2</u><u>×</u><u>7</u><u>×</u><u>3</u><u>6</u><u> </u><u>=</u><u> </u><u>1</u><u>0</u><u>0</u><u>8</u></h3>

<h2><u>(</u><u>L.</u><u>C</u><u>.</u><u>M</u><u>)</u><u> </u><u>=</u><u>1008</u></h2>

─━─━─━─━─━─━─━─━─━─━─━─

<h3>L.C.M = Lowest Common Multiple </h3>
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No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer

Step-by-step explanation:

Let us revise the types of solutions of a system of linear equations

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∵ y = -2x + 5

- Add 2x to both sides

∴ 2x + y = 5 ⇒ (1)

∵ -5y = 10x + 20

- Subtract 10x from both sides

∴ -10x - 5y = 20

- Divide both sides by -5

∴ 2x + y = -4 ⇒ (2)

∵ The coefficient of x in equation (1) is 2

∵ The coefficient of x in equation (2) is 2

∴ The coefficients of x in the two equations are equal

∵ The coefficient of y in equation (1) is 1

∵ The coefficient of y in equation (2) is 1

∴ The coefficients of y in the two equations are equal

∵ The numerical term in equation (1) is 5

∵ The numerical term in equation (2) is -4

∴ The numerical terms are different

From the 2nd rule above

∴ No solution of the system of equations

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

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