Graphing Linear Equations Solution

Summary

To find the solution of two linear equations on a graph, identify the intersection point, which represents the values of x and y satisfying both equations. Verify by substituting these values into the original equations to ensure they hold true. For the given system, substituting y = 4 into y - 3x = -2 results in x = 2, confirming the solution as (2, 4).

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Examine this system of linear equations. y – 3x = –*, y = * Which is a solution of the system of equations? (*, *) (*, *) (*, *) (*, *)
Let's solve the system of equations:
*. \( y - 3x = -* \)
*. \( y = * \)
Substitute \( y = * \) into the first equation:
\[ * - 3x = -* \]
Solve for \( x \):
\[ * + * = 3x \]
\[ * = 3x \]
\[ x = * \]
So, the solution is \( (*, *) \).