Question

How many solutions does the system have?

You can use the interactive graph below to find the answer.
\begin{cases} x+2y=2 \\\\ 2x+4y=-8 \end{cases}
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x+2y=2
2x+4y=−8
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Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Exactly one solution

(Choice B)
B
No solutions

(Choice C)
C
Infinitely many solutions







How many solutions does the system have? ⎧
​

x+2y=2
2x+4y=−8
​

Answer 1

How many solutions does the system have?

You can use the interactive graph below to find the answer.

x + 2y = 2

2x + 4y = -8

Answer 2

No solution

Explanation:

The easiest approach here is to divide the second equation by 2: x + 2y = -4.

Comparing the first equation with this result, we see that the the two lines never intersect, and thus that there is no solution.