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LuckyWell [14K]
3 years ago
9

20 subtracted from three times a number is 6 more than the number

Mathematics
1 answer:
kompoz [17]3 years ago
3 0
<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>

<em><u>Solution:</u></em>

<em><u>Given statement is:</u></em>

20 subtracted from three times a number is 6 more than the number

We can translate the sentence into algebraic expression

Let "a" be the unknown number

Then,

20 subtracted from three times "a" is 6 more than "a"

Which means,

3a - 20 = 6 + a

3a - a = 6 + 20

2a = 26

Divide both sides by 2

a = 13

Thus the number is 13

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Answer:

Option D is correct.

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Step-by-step explanation:

The system of equation is given:

2x-y = -4             ....[1]

3x+5y = 59         .....[2]

Multiply equation [1] by 5 to both sides we have;

10x-5y = -20              .....[3]

Using elimination method:

Add [2] and [3] equations to eliminate y and solve for x, we have;

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Divide both sides by 13 we get;

x = 3

Substitute x in [1] we have;

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Divide both sides by -1 we have;

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⇒Solution: (3, 10)

Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,

13x = 39

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3 years ago
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