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4 years ago

Find the solution to the system 4x - y = -12 and -x - y = 3

Mathematics

1 answer:

nikdorinn [45]4 years ago

8 0

Answer:

x = -3 , y = 0

Step-by-step explanation:

Solve the following system:

{4 x - y = -12 | (equation 1)

-x - y = 3 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{4 x - y = -12 | (equation 1)

0 x - (5 y)/4 = 0 | (equation 2)

Multiply equation 2 by 4/5:

{4 x - y = -12 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by -1:

{4 x - y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Add equation 2 to equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = -3 , y = 0

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3 years ago

One tour last 2 5/6 hours. nine people take the tour. how many total hours do they spend on the tour?

Paul [167]

2 hours = 120 minutes
5/6 of an hour = (60/6)X5 = 50 minutes

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4 years ago

Graph the line that contains the point (-2,-4) and has a slope of<br> 1/4

mixer [17]

Answer:

y = 1/4x - 7/2

Step-by-step explanation:

To answer this question, we have to use point-slope form:

y - y1 = m(x - x1)

Substitute the numbers into the variables:

y - (-4) = 1/4(x - (-2))

y + 4 = 1/4(x + 2)

y + 4 = 1/4x + 1/2

y = 1/4x - 7/2

To verify your answer, simply substitute the values into your equation:

-4 = 1/4(-2) - 7/2

-4 = -1/2 - 7/2

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3 0

3 years ago

Use the elimination method to solve the system of equations. <br><br> X+y=-3<br> X-y=13

Olin [163]

So I will choose to cancel the y first because that is easiest. To do this, add both equations together.
x+y = -3
+
x - y = 13
This will give us:
2x = 10
therefore, x = 5
Now, we can plug this into the first equation to find y
5+y = -3
y = -3 - 5
y = -8

Answer:
x = 5
y = -8

Hope this helped!! :D

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3 years ago

Read 2 more answers

Cindy goes to dinner with a friend. The total bill is $16.50. Cindy brought $20.00 with her. What is the closest to the maximum

Arlecino [84]

20.00 - 16.50 = ?

you would take 20.00 then subtract 16.50 from it

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3 years ago