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Debora [2.8K]
3 years ago
10

Which of the following is a solution of the system x – 2y < 4 and y > – 2x – °5?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer: B

Step-by-step explanation:

Given the two systems of inequality to be:

x – 2y < 4

Rearrange the equation,

X - 2y < 4

-2y < 4 - x

The sign will change as we divide both sides by -2

Y > -2 + x/2

Y > x/2 - 2 ...... (1)

and

y > – 2x – 5 ..... (2)

Multiply (1) by 2 and (2) by 1/2

2y > x - 4

y/2 > -x - 5/2

Since the inequality sign of the two are the same, you can eliminate x by addition.

2 1/2 y > - 4 5/2

Change mixed fraction to improper fraction.

5y/2 > -13/2

Cross multiply

10y > -26

y > -26/10

y > - 2.6

Base on the value got for y, the correct answer is B ( -8, 2 ) because only option B and D has negative value for x and y is not equal to zero.

You confirm by plugging in the value in the two inequality equations.

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Paulo can run a marathon in four hours and 20 minutes. If he's able to cut of 18% of his time, how long will it take him to run
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7 0
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What is the value of x?
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3 years ago
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5 0
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Read 2 more answers
Does the point (-2, 1) satisfy the inequality 6x + y &gt; -11?<br> YES OR NO
natali 33 [55]

No, the given point does not satisfy the inequality

<em><u>Solution:</u></em>

Given inequality is 6x + y > -11

We have to find whether the point (-2, 1) satisfies the inequality

When we subsitute the given point into given inequality, values in both sides of inequality must satisfy the condition

Let us substitute the given point (x, y) = (-2, 1) in given inequality

6(-2) + 1 > -11

-12 + 1 > -11

-11 > -11 which is not true, Since -11 is equal to -11

So the given point does not satisfy the inequality

7 0
3 years ago
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