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3 years ago

Solve the system of equations. x + 3y = -1 2x + 2y = 6

Mathematics

1 answer:

Lerok [7]3 years ago

7 0

Answer:

y= -2

x = 5

Step-by-step explanation:

Multiply the top equation by 2 to get

2x + 6y = -2

then subtract the bottom equation by the new equation to get

2x + 6y = -2

--------------------

2x + 2y = 6

which is

4y = -8

y = -2

If y = -2

Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is

x + (-6) and add 6 to both sides to get x = -1 + 6

which is x = 5

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3 years ago

Use the given x and y values to write a direct variation<br> equation.<br> x = 5, y = 25

Anuta_ua [19.1K]

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

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3 years ago

Read 2 more answers

What assumption should be made to prove this conjecture by contradiction? If it is raining, then I will not go swimming.

Anon25 [30]

Here are some options to make deciding easier-

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3 years ago

Which of the following best describes the

ehidna [41]

$k:6x-14y=-28\ \ \ \ |subtract\ 6x\ from\ both\ sides\\\\-14y=-6x-28\ \ \ \ \ \ |divide\ both\ sides\ by\ (-14)\\\\y=\frac{-6}{-14}x-\frac{28}{-14}\\\\y=\frac{3}{7}x+2\\----------------------------\\l:3y-7x=-14\ \ \ \ \ |add\ 7x\ to\ both\ sides\\\\3y=7x-14\ \ \ \ \ \ |divide\ both\ sides\ by\ 3\\\\y=\frac{7}{3}x-\frac{14}{3}$

$Two\ lines\ are\ perpendicular\ if\ product\ of\ the\ slopes\ is\ equal\ -1.\\\\k:y=\frac{3}{7}x+2\to the\ skolpe\ m_k=\frac{3}{7}\\\\l:y=\frac{7}{3}x-\frac{14}{3}\to the\ slope\ m_l=\frac{7}{3}\\\\m_k\times m_l=\frac{3}{7}\times\frac{7}{3}=1\neq-1\\\\conclusion:the\ lines\ are\ not\ perpendicular\\\\Two\ lines\ are\ parallel\ if\ the\ slopes\ are\ equal.\\\\m_k=\frac{3}{7};\ m_l=\frac{7}{3}\to m_k\neq m_l\\\\conclusion:the\ lines\ are\ not\ parallel$

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3 0

3 years ago

Read 2 more answers

One-third a number (x) added to one-half the number equals nine less than the number

Anna11 [10]

The answer to your question is:

1/3x + 1/2x = x - 9

8 0

4 years ago