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Is \( (0,0) \) a solution to the system?

Ask by Todd Bryant. in the United States
Jan 24,2025

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Cannot determine if \((0,0)\) is a solution without the system of equations.

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To determine if \( (0,0) \) is a solution to the system of equations, you need to plug \( x = 0 \) and \( y = 0 \) into each equation. If the left-hand side equals the right-hand side for all equations in the system, then \( (0,0) \) is indeed a solution! If even one equation fails, then it is not a solution. So, do the math and check each equation to find out! Another fun approach to spotting solutions is to visualize the equations as lines on a graph. If the point \( (0,0) \) lies on the intersection of these lines, then it’s a solution! Grab a piece of graph paper or use a graphing tool online to see just where that pesky point lands! Happy graphing!

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