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Elena L [17]
3 years ago
8

Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.

Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

See attachment

Step-by-step explanation:

We want to graph the system

2x+y=8

-x+2y=6

Let us rewrite the lines in slope intercept form:

y=-2x+8

y=\frac{1}{2}x+3

The first line has a slope of -2 and a y-intercept of 8

The second line has a slope of 1/2 and a y-intercept of 3

We can no graph the lines as shown in the attachment.

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What is the maximum number of possible solutions for the system shown below?
vekshin1

Answer:

B:  4 solutions

Step-by-step explanation:

Combining the two equations results in 2x² = 52, or x² = 26.

This equation has two solutions:  x = ±√26.

As before, x² = 26.  If we substitute 26 for x² in the 1st equation, we get:

26 - 4y² = 16, or 4y² = 10, or y = ±√5/2.  Again:  two solutions.

If we take x to be +√26, y could be ±√(5/2).

Check:  is ( √26, √(5/2) ) a solution of the system?

Subbing these values into the first equation, we get:

26 - 4(5/2) = 16.  Is this true?

Then 10 = 10.  Yes.

Through three more checks, we find that this system has FOUR solutions.

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