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Stella [2.4K]
4 years ago
4

6x – 2y = 2

Mathematics
2 answers:
alexandr402 [8]4 years ago
6 0

The LCM of 6 and 8 is 24. Knowing this, multiply the first equation by 4 and the second by −3 to get opposite coefficients. Then, add the equations to eliminate x.

antiseptic1488 [7]4 years ago
3 0
The LCM of the coefficients of x , that is 6 and 8,  is 24

4*6 = 24 and 3*8 = 24

so if we multiply the first equation by 4 and the second one by 3 we get 2 terms 24x in each equation.

Now subtracting the 2 equations will eliminate  the x terms.
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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
Where is the major arc located in a central angle
gayaneshka [121]

Answer:

Step-by-step explanation:.

5 0
4 years ago
Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the pro
lorasvet [3.4K]
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you can come to this conclusion by calculating 13/52
7 0
3 years ago
An employee earns $200 for 14 hours work. Assuming he is paid by the hour, how much will this employee earn in 35 hours?
bezimeni [28]
If an employee earns 200 dollars for 14 hours work, that means this person gets approximately 14 dollars and 29 cents per every hour.

Thus, in 35 hours, you can multiply 14.29 by 35 to get about 500 dollars.

In 35 hours, the employee will earn 500 dollars.
3 0
4 years ago
Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multi
mrs_skeptik [129]

Answer:

A. 2(x + 9) = 8

Step-by-step explanation:

To solve this problem, we proceed as follows:

- We call "x" the number picked up by Amy:

x

- Amy then adds 9 to this number, so we get:

x+9

- Then, we multiply this sum by 2, so we get:

2(x+9)

- Finally, Amy says that this number is equal to 8:

2(x+9)=8

So the correct equation is

A. 2(x + 9) = 8

We can even solve it to find the number. We get:

2(x+9)=8\\2x+2\cdot 9 = 8\\2x+18=8\\2x+18-18=8-18\\2x=-10\\x=\frac{-10}{2}=-5

5 0
3 years ago
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