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Semenov [28]
3 years ago
12

Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?

2y = 2 2y = -2 y = -2
Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

For this case we have the following system of two equations with two unknowns:

-2x + y + 6 = 0\\2x + y-8 = 0

Adding both equations we have to eliminate the variable "x":

y + y + 6-8 = 0

Adding common terms, keeping in mind that different signs are subtracted and the sign of the major is placed:

2y-2 = 0\\2y = 2

Answer:

2y = 2

Option A

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Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

\frac{1}{15}-\frac{1}{x} = \frac{1}{35} <em>// multiply by 105x both sides.</em>

105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35} <em>// simplifly</em>

7x - 105 = 3x<em> //substract 3x and add 105 in both sides</em>

7x - 3x - 105 + 105 = 3x - 3x + 105 <em>// solve</em>

4x =  105 <em>//</em> <em>divide by 4 in both sides</em>

\frac{4x}{4} =  \frac{105}{4} <em>// solve</em>

x =  26.25

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