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3 years ago

Y = 3x - 8y = 4 - X

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

Answer:

Step-by-step explanation:

Using substitution method.

y = 3x - 8 -------(i)

y = 4 - x -------- (ii)

Substitute y = 3x-8 in equation (ii)

3x - 8= 4 - x {Add x to both sides}

3x - 8 + x = 4 - x +x

4x - 8 = 4 {Add 8 to both sides}

4x = 4 + 8

4x = 12 {Divide both sides by 4}

x = 12/4

x = 3

Substitute x = 3 in Equation (i)

y = 3*3 - 8

y = 9 - 8

y = 1

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Step-by-step explanation:

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3 years ago

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Explanation:

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3 years ago

Read 2 more answers

Cot 2 2x – 4cot2x + 3 = 0

jeyben [28]

x = 9.21° or x = 22.5°

cot²2x – 4cot2x + 3 = 0

Let cot2x = y

y² - 4y + 3 = 0

Factorizing, we have

y² - y - 3y + 3 = 0

y(y - 1) -3(y - 1) = 0

(y - 1)(y - 3) = 0

y - 1 = 0 or y - 3 = 0

y = 1 or y = 3

Since cot2x = y

cot2x = 1 or cot2x = 3

1/tan2x = 1 or 1/tan2x = 3

tan2x = 1 or tan2x = 1/3

2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)

2x = 45° or 2x = 18.43°

x = 45°/2 or x = 18.43°/2

x = 22.5° or x = 9.21°

So, x = 9.21° or x = 22.5°

Learn more about cotx here:

brainly.com/question/15546709

4 0

3 years ago

Please help me solve this equation please and thank you

velikii [3]

Answer: (x, y) = (3, 4)

This is the same as saying x = 3 and y = 4 pair up together

======================================================

Explanation:

Subtract the equations straight down.

The x terms subtract to 5x (because -5x-(-10x) = -5x+10x = 5x)
The y terms subtract to 0 (because 2y-2y = 0)
The right hand side values subtract to 15 (because -7-(-22) = -7+22 = 15)

After all that is said and done, we have this new equation

5x = 15

Divide both sides by 5 to get x = 3

Then we use this x value to find y

-5x+2y = -7

-5(3)+2y = -7

-15+2y = -7

2y = -7+15

2y = 8

y = 8/2

y = 4

Or,

-10x+2y = -22

-10(3)+2y = -22

-30+2y = -22

2y = -22+30

2y = 8

y = 8/2

y = 4

Either way, we end up with y = 4.

Overall, the solution as an ordered pair is (x, y) = (3, 4)

If you were to graph the two equations, they intersect at the location (3,4).

3 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST. PLEASE HELP.<br> simplify:

Scilla [17]

Answer:

$2+3\sqrt{5}$

Step-by-step explanation:

Hi!

This is a lot of radicals, so it may seem tricky. Let's begin by simplifying all of the radicals that can be simplified.

We can see that $\sqrt{75}$ can be simplified.

Taking prime factorization:

$=\sqrt{5^2\cdot \:3}$

which is:

$=5\sqrt{3}$

So an updated equation is $\left(\sqrt{5}+\sqrt{3}-\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)+5\sqrt{3}$ .

Now, we need to expand this:

First, let's expand the parenthesis:

$\sqrt{5}\sqrt{5}+\sqrt{5}\left(-\sqrt{3}\right)+\sqrt{3}\sqrt{5}+\sqrt{3}\left(-\sqrt{3}\right)+\left(-\sqrt{15}\right)\sqrt{5}+\left(-\sqrt{15}\right)\left(-\sqrt{3}\right)$ .

We can apply some of are rules:

$\sqrt{5}\sqrt{5}-\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}$

And, now to simplifying!

Adding similar elements:

$\sqrt{5}\sqrt{5}-\sqrt{3}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{3}$

Simplifying and cleaning up each radical:

$5-3-5\sqrt{3}+3\sqrt{5}$ .

Now all we have to do is add the similar elements (again.)

In doing so we reach an answer of $\boxed{2+3\sqrt{5}}$

Hope this helps!

- Sahkfam

3 0

3 years ago

Y = 3x - 8y = 4 - X​

Y = 3x - 8y = 4 - X