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kvasek [131]
3 years ago
11

The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
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Step-by-step explanation:

<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?

Group of choices is:

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(B) 0.3 \times 81

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(D) \frac{3}{10}\times 81 \times 10

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Simplifying the above expression we get;

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Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

\frac{30}{100}\times 81 \times 100  =  30 \times 81

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

0.3 \times 81  

<u><em>This matches with our answer, so this option is correct.</em></u>

Option (C) is given;

0.03 \times 81  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

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This doesn't match with our answer, so this option is not correct.

Option (E) is given;

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This doesn't match with our answer, so this option is not correct.

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Step-by-step explanation:

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