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s344n2d4d5 [400]
3 years ago
11

Solving systems of equations algebraically. y = x + 2 y= 3x -2 And SHOW YOUR WORK!!!!

Mathematics
1 answer:
matrenka [14]3 years ago
6 0

Answer:

x = 2

y = 4

Step-by-step explanation:

<em><u>Since it gives you the "value" of y, just plug one of them into an equation:</u></em>

y = x + 2

3x - 2 = x + 2

<em><u>Now, subtract x from both sides:</u></em>

3x - 2 = x + 2

-x         - x

__________

2x - 2 = 2

<em><u>Then, add 2 to both sides:</u></em>

2x - 2 = 2

    + 2  + 2

________

2x = 4

<em><u>Finally, divide both sides by 2:</u></em>

2x = 4

x = 2

<em><u>Now to get y, just plug in 2 for x in an equation:</u></em>

y = x + 2

y = 2 + 2

y = 4

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

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KATRIN_1 [288]
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Answer:2

Step-by-step explanation: 5  - 3 = 2

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Answer:

1. parallelogram

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Answer:

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Step-by-step explanation:


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