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2 years ago

Solve the system of equations using the substitution method.

Mathematics

2 answers:

Minchanka [31]2 years ago

4 0

Answer:

$y = - 2 \\ x = - 2$

Step-by-step explanation:

<h3>Question</h3>

$- 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2$

Now you can write the 1st equation like this.

$- 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3$

Now simply Solve the 3rd equation

$- 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2$

Now replace y as 2 in the 2nd equation like this

$y = x \\ - 2 = - 2$

Now let's check whether the answer correct or wrong

$- 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16$

Yes, the answer is correct

hope this helps you !!

Galina-37 [17]2 years ago

3 0

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

If line A contains Q(5,1) and is parallel to line MN with M(-2,4) and N(2,1), which ordered pair would be on the perpendicular t

vivado [14]

Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.

Example:
Your line is y = 4/3x + 1/3
Let's see if (0, 0) and (2, 3) belong to this line

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3 years ago

Read 2 more answers

Find the value of x

kodGreya [7K]

Answer:

Last Option

Step-by-step explanation:

We have a triangle and we know its three sides.

We want to find one of your anguos. Then we use the cosine theorem.

$c ^ 2 = a ^ 2 + b ^ 2 -2abcosx$

Where

$c = 14\\a = 11\\b = 19$

Now we solve for x from the equation

$c ^ 2 = a ^ 2 + b ^ 2 -2abcosx\\\\\\14^2 = 11^2 + 19^2 -2(11)(19)cosx\\\\14^2 -11^2 -19^2 = 2(11)(19)cosx\\\\-286=2(11)(19)cosx\\\\cosx = \frac{-286}{2(11)(19)}\\\\x = arcos(\frac{-286}{2(11)(19)})\\\\x = 46.8\°$