3 answers
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how many solutions are there
x+2y=-4
4x+8y=-16
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
3 months ago
![bussingbunny00](/images/users/0/1/128x128.jpeg)
3 months ago
show me the steps
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
3 months ago
To see why there are infinitely many solutions, we can start by simplifying both equations:
1) x + 2y = -4
2) 4x + 8y = -16
If we divide the second equation by 4, we get:
4x/4 + 8y/4 = -16/4
x + 2y = -4
Now we see that the second equation is just a multiple of the first equation. This means that any point (x, y) that satisfies the first equation will also satisfy the second equation, and vice versa. In other words, there are infinitely many solutions because the two equations represent the same line.