Respuesta :

Answer: (0,3) and (2,2)

There are infinitely many possible answers.

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Explanation:

If we plug in x = 0 and solve for y, then we get,

x+2y = 6

0+2y = 6

2y = 6

y = 6/2

y = 3

So x = 0 and y = 3 pair up together. We get the ordered pair (x,y) = (0,3)

This is one point on the line.

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Pick any other value you want for x. Let's say we go for x = 2

x+2y = 6

2+2y = 6

2y = 6-2

2y = 4

y = 4/2

y = 2

The point (x,y) = (2,2) is also on the line, and also another solution.

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One last example. Let's plug in x = 4

x+2y = 6

4+2y = 6

2y = 6-4

2y = 2

y = 2/2

y = 1

The point (x,y) = (4,1) is another solution.

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Refer to the graph below.

Ver imagen jimthompson5910

Answer

first solution

for X=0

0+2y=6

2y = 6

6

y= ---- =3

2

so, (0,3) is also a solution

second solution

for y=0

X + 2(0) = 6

X+0 =6

X = 6

so, (6,0) is a solution

Step-by-step explanation:

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