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expeople1 [14]
3 years ago
10

One equation in a system of linear equations is y=2x+1

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Step-by-step explanation:

<u>Given equation:</u>

  • y = 2x + 1

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>

  • 3 = 1*10 + b ⇒ b = -7

<u>And the equation:</u>

  • y = 10x - 7

b. Write a second equation so that the system has infinitely many solutions

<u>To have infinitely many solutions, both equations must be same:</u>

  • y = 2x + 1

c. Write a second equation so that the system has no solutions.

<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>

  • y = 2x + 5
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
What is the equation of a like that goes through the point 5,-2 and has a slope of. 6/5<br>​
castortr0y [4]

Answer:

y= 6/5x -8

Step-by-step explanation:

The slope-intercept form (basically the form for the equation of a line)

y=mx+b

m is the slope

x is the value you want to plug in, or the x term in a point (x, y)

we know so far,

y=6/5x + b

so to find the missing value let's plug in the x & y value from (5, -2) and use the given slope

-2 = 6/5(5) + b

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so

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3 years ago
How do you calculate this
Alexxx [7]

Answer:

y = - 2x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

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m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

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y = - 2x - 1 ← equation of line

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1 year ago
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Step-by-step explanation: hope it helps

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