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Jlenok [28]
3 years ago
7

Gwen used elimination with multiplication to solve the system:

Mathematics
1 answer:
il63 [147K]3 years ago
8 0
The correct answer for this question is this one:

<span>Gwen used elimination with multiplication to solve the system: 
2x + 6y = 3 
x − 3y = −5 

Her work to find x is shown. Complete the explanation of her error. Then solve the system. If necessary, enter your answer as a reduced fraction. 
2(x − 3y) = −5 --> 2(x-3y) = 2(-5)
2x − 6y = −5 --> 2x - 6y = -10
2x + 6y = 3 --> 2x + 6y = 3
2x − 6y = −5 --> 2x - 6y = -10
4x + 0y = −2 --> 4x = -7
x = −2/4 --> <u>x = -7/4</u>

x - 3y = -5
4(-7/4 - 3y = -5)
-7 - 12y = -20
-12y = -13
<u>y = 12/13</u>


Gwen forgot to multiply the right side by 2. 
What is the solution as an ordered pair</span>
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SOLUTION:

Step 1:

The length of a rectangular garden is 8 feet longer than its width.

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Step 2:

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P = perimeter

P = 2(L+W)

P =184 (given)

Substitute L=W+8 in the perimeter equation

2( (W+8) + W ) = 184

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Always check your work.

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