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 of 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= 5, y= - 6
(I), (II): Multiply
(I): a(- b)=- a * b
(II): Remove parentheses
(I), (II): Subtract terms
Since 12 is equal to 12 and 14 is equal to 14, both statements are true. Therefore, the point (5,- 6) is a solution to the system.