Question
Is \( (-1,-3) \) a solution to the linear equation \( y=x-2 \) \( y=-1-2 \)
Ask by Greene Nunez. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
El punto (-1, -3) es solución de la ecuación y = x - 2.
Solution
Para determinar si el punto (-1, -3) es solución de la ecuación y = x - 2, sustituimos x = -1 en la ecuación:
y = (-1) - 2 = -3
Como el resultado es y = -3, que coincide con la coordenada y del punto dado, podemos concluir que (-1, -3) es una solución de la ecuación.
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Simplify this solution Beyond the Answer
To determine if the point \( (-1, -3) \) is a solution to the linear equation \( y = x - 2 \), we can substitute \( x = -1 \) into the equation. Calculating: \[ y = -1 - 2 = -3. \] Since \( y \) equals \(-3\) when \( x \) is \(-1\), the point \( (-1, -3) \) satisfies the equation \( y = x - 2 \). Now, for the equation \( y = -1 - 2 \): Calculating: \[ y = -1 - 2 = -3. \] Here, for \( y = -3 \) as well, which is consistent with the y-coordinate of the point \( (-1, -3) \). Thus, \( (-1, -3) \) is indeed a solution to the first equation and produces the same value as the second equation.
