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harina [27]
3 years ago
12

A linear equation exists for the following sets of ordered pairs: {(-1, 1), (0, 3), (-1/3, 7/3)}. The rule for the linear equati

on states that y is three more than twice x. Set up a linear equation that satisfies the rule, and use the set of ordered pairs to prove that your equation satisfies the set of coordinates.
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
The rule of the linear equation which is 'y is three more than twice x' can be translated into y = 2x + 3. Thus, we simply use the points and subtitute it to the y and x variables. 

1st point: (-1, 1)
1 = 2(-1) + 3
1 = -2 + 3
1=1 

2nd point: (0, 3)
3 = 2(0) + 3 
3 =3

3rd point: (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = -2/3 + 3
 7/3 = 7/3

All points prove the equation satifsfies the set of coordinates.
marshall27 [118]3 years ago
4 0
From the statement:
y is three more than twice x

We can generate the equation:
y = 3 + 2x

or
y = 2x + 3

Testing the equation with the given ordered pairs:
For (-1,1)
1 = 2(-1) + 3
1 = 1 (correct!)

For (0,3)
3 = 2(0) + 3
3 = 3 (correct!)

For (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = 7/3 (correct)
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3 years ago
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7 0
3 years ago
If I had seven stones and I threw 8 how many stones do I have left??
igomit [66]
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7 0
3 years ago
Read 2 more answers
Solve by addition method <br>3x+y=8 <br>2x-y=7
Vinil7 [7]

Answer:

(3,-1)

Step-by-step explanation:

So we have the system of equations:

3x+y=8\\2x-y=7

As directed, add straight down. The y-variable will cancel:

5x=15

Now, divide both sides by 5. The left cancels:

x=3

So x is 3.

Now, substitute 3 for x in either of the equations:

3x+y=8

Substitute 3 for x:

3(3)+y=8

Multiply:

9+y=8

Subtract 9 from both sides:

y=-1

So, our answer is: x=3, y=-1 or (3,-1).

And we are done :)

7 0
3 years ago
If B = {0, { 1,2} }, find all subsets of B.​
kotegsom [21]

Answer: If i'm correct i think the subsets of b are

={0},{1},{2},{0,1},{1,2} ,{2,0},{0,1,2},{phye}

Step-by-step explanation:

8 0
1 year ago
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