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fenix001 [56]
3 years ago
6

Substitution 4x+6y=32. x=2y+16

Mathematics
2 answers:
Lunna [17]3 years ago
5 0
4(2y+16)+6y=32
14y+16+=32
y=1.14
x=18.28
Bezzdna [24]3 years ago
4 0
4x + 6y = 32
x = 2y + 16

4(2y + 16) + 6y = 32
8y + 64 + 6y = 32
8y + 6y = 32 - 64
14y = - 32
y = -32/14...reduces to -16/7

x = 2y + 16
x = 2(-16/7) + 16
x = - 32/7 + 16
x = -32/7 + 112/7
x = 80/7

solution is (80/7 , -16/7)
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Answer <u>(assuming it can be in point-slope form)</u>:

y + 8 = \frac{1}{3} (x+6)

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The m represents the slope, so substitute \frac{1}{3} in its place. The x_1 and y_1 represent the x and y values of one point the line intersects, so substitute -6 for x_1 and -8 for y_1. This gives the following answer and equation (just make sure to convert the double negatives into positives:  

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<h3>Answer:  944 dollars for the week</h3>

============================================================

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