Question
Use the graph to determine another solution of \( y=x-1 \). Is \( (-3,-4) \) a solution? Yes
Ask by Savage Mcguire. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\((-3, -4)\) is a solution to the equation \(y = x - 1\).
Solution
To determine if the point \((-3, -4)\) is a solution to the equation \(y = x - 1\), we can substitute \(x = -3\) into the equation and see if the resulting \(y\) value matches \(-4\).
1. Substitute \(x = -3\) into the equation:
\[
y = -3 - 1
\]
2. Calculate the right-hand side:
\[
y = -4
\]
Since substituting \(x = -3\) gives us \(y = -4\), the point \((-3, -4)\) satisfies the equation \(y = x - 1\).
Thus, \((-3, -4)\) is indeed a solution to the equation \(y = x - 1\).
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Simplify this solution Bonus Knowledge
To find another solution of the equation \( y = x - 1 \), we can choose any value for \( x \) and compute \( y \). For example, if we set \( x = 2 \), then \( y = 2 - 1 = 1 \), giving us the solution \( (2, 1) \). Now, let's check if \( (-3, -4) \) is a solution. Substituting \( x = -3 \) into the equation gives us \( y = -3 - 1 = -4 \). Since this matches the given \( y \), we can confirm that \( (-3, -4) \) is indeed a solution! How neat is that?
