Question

Consider the system of equations, x - 2y = 8 and -2x+4y=-16.

Answer 1

Answer:

Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.

What is x – 2y = 8 in slope-intercept form?

y=(1/2)x - 4

What is –2x + 4y = –16 in slope-intercept form?

y=(1/2)x - 4

How many solutions will there be?

infinitely many solutions

What will the graph of the system look like?

the lines are exactly the same

(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)

Answer 2

Answer:

y = x/2 - 4    slope-intercept form

y = x/2 + 4   slope-intercept form

NO SOLUTION.

The graph is a pair of parallel lines one line through point (0, -4) and the other through point (0, 4)

Step-by-step explanation:

x - 2y = 8 and -2x+4y=-16.

we can easily convert these to slope intercept form

x - 2y = 8

-2y = 8 - x

2y = x - 8

y = x/2 - 8/2

y = x/2 - 4    slope-intercept form

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-2x + 4y = 16

4y = 2x + 16

y = 2x/4 + 16/4

y = x/2 + 4   slope-intercept form

We have 2 lines that are parallel because they have the same slope