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7. Systems of Equations: Know what you d... > The INTERSECTION of the lines solves...
The INTERSECTION of the lines solves BOTH linear equations
The point where the lines meet is the point where both equations have a solution. So for Zach’s punch problem, we need to find where the two lines meet. That’s the amount of liquid we want to make the perfect party punch.
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Both equations individually have an infinite number of solutions.
Each line is an infinite set of ordered pairs that satisfy that particular equation and make the equation true.
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The point where the lines intersect solves the problem.
The intersection is the solution because it solves both equations at the same time. The intersection is a point on both solution lines.
