1. Solving Systems of Linear Equations by Graphing
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Does substituting the point into every equation in the system result in true statements?
Yes
To determine if a point satisfies an equation, we substitute the point into the equation and simplify. If the resulting statement is true, the point is a solution to the equation. For systems of equations, we can use the same method, but substituting the point must create true statements in every equation in the system. Let's test the given point.
x= 2, y= 6
(I): Add terms
(II): Multiply
(II): Subtract term
Both statements, 8=8 and 0=0, are true. Therefore, the point (2,6) is a solution of the system.