Question
1 of 2 : Determine if the point \( (2,-4) \) lies on both of the lines in the system of equations by substituting the ordered pair into both equations.
Ask by Lane Simpson. in the United States
Feb 03,2025
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Tutor-Verified Answer
Answer
Cannot determine if the point \( (2, -4) \) lies on both lines without the equations.
Solution
To determine if the point \( (2, -4) \) lies on both lines in the system of equations, we need to substitute \( x = 2 \) and \( y = -4 \) into each equation of the system.
However, you haven't provided the specific equations of the lines. Please provide the equations so that I can proceed with the substitution and check if the point lies on both lines.
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Simplify this solution Mind Expander
To check if the point \( (2, -4) \) lies on the lines represented by two given equations, you simply substitute \( x = 2 \) and \( y = -4 \) into each equation to see if the left-hand side equals the right-hand side. For example, if one equation is \( y = 2x - 8 \), substituting gives: - Left-hand side: \( y = -4 \) - Right-hand side: \( 2(2) - 8 = 4 - 8 = -4 \) Since both sides equal -4, the point lies on this line. Repeat this process for the second equation. If it satisfies both equations, then the point is indeed on both lines!
