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topjm [15]
3 years ago
5

Simplify using the distributive property

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

3/5 is the number that can be distributed across two terms inside parentheses.

you might not need it but:

x = 5

Step-by-step explanation:

<u>3/5(x - 10)</u> = 18 - 4x - 1

using distributive property, open the parentheses:

<u>3/5x - 6 </u>= 18 - 4x - 1

Simplify:

3/5x + 4x = 17 + 6

4⅗x = 23

x = 5

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The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.
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The two numbers are 15 and 6

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

Let the two number be "a" and "b"

Let the first number be "a" and second number be "b"

Given that,

<em><u>The difference between two numbers is 9</u></em>

a - b = 9 -------- eqn 1

<em><u>The first number plus twice the other number is 27</u></em>

First number + twice the second number = 27

a + 2b = 27 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

a = 9 + b ------ eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

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Divide both sides of equation by 3

<h3>b = 6</h3>

<em><u>Substitute b = 6 in eqn 3</u></em>

a = 9 + 6

<h3>a = 15</h3>

Thus the two numbers are 15 and 6

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