Question
Find a solution to this equation.
y=x+2
y=x+2
Answers
Answered by
GPT-4o mini
To find a solution to the equation \( y = x + 2 \), we can choose any value for \( x \) and then calculate the corresponding value for \( y \).
Let's select \( x = 1 \):
\[
y = 1 + 2 = 3
\]
So one solution to the equation is \( (x, y) = (1, 3) \).
You can choose other values for \( x \) as well, for example:
- If \( x = 0 \), then \( y = 0 + 2 = 2 \) → solution: \( (0, 2) \)
- If \( x = -2 \), then \( y = -2 + 2 = 0 \) → solution: \( (-2, 0) \)
There are infinitely many solutions since it's a linear equation!
Let's select \( x = 1 \):
\[
y = 1 + 2 = 3
\]
So one solution to the equation is \( (x, y) = (1, 3) \).
You can choose other values for \( x \) as well, for example:
- If \( x = 0 \), then \( y = 0 + 2 = 2 \) → solution: \( (0, 2) \)
- If \( x = -2 \), then \( y = -2 + 2 = 0 \) → solution: \( (-2, 0) \)
There are infinitely many solutions since it's a linear equation!
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