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aev [14]
2 years ago
10

Hello please answer need help​

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
6 0

Answer: \Large\boxed{27}

Step-by-step explanation:

<u>Given information converted into a mathematical statement</u>

a = icecream\\b=cookie\\c=brownie\\d=cake\\e=creamed cake

1)~a+b+a+b=42

2)~c+d+c=35

3)~c+c+e=29

4)~a+d+b-e=\mbox{?}

<u>Simplify each equation</u>

1)~2a+2b=42

2)~2c+d=35

3)~2c+e=29

4)~(a+b)+(d-e)=\mbox{?}

<u>Factorize 2 out of the 1) equation</u>

2a+2b=42

2(a+b)=42

<u />

<u>Divide 2 on both sides</u>

2(a+b)\div2=42\div2

a+b=21

<u>Current system</u>

1)~a+b=21

2)~2c+d=35

3)~2c+e=29

4)~(a+b)+(d-e)=\mbox{?}

<u>Subtract 3) equation from the 2) equation</u>

(2c +d)-(2c+e)=(35)-(29)

<u>Expand the parenthesis</u>

2c+d-2c-e=35-29

<u>Combine like terms</u>

2c-2c+d-e=6

d-e=6

<u>Current system</u>

1)~a+b=21

2)~d-e=6

3)~(a+b)+(d-e)=\mbox{?}

<u>Substitute values into the 3) equation to determine the final value</u>

  (a+b)+(d-e)

=(21)+(6)

\Large\boxed{=27}

Hope this helps!! :)

Please let me know if you have any questions

Levart [38]2 years ago
3 0

2x + 2y = 42

2w + q = 35

2w + v = 29

x + q + y - v = ?


x = 7

y = 14

w = 3

q = 29

v = 23

7 + 29 + 14 - 23 =

The answer is 27

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