nehawelikala
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

When you graph a system of linear equations, why does the intersection of the two lines represent the solution of the system?

Sagot :

AL2006

Every point on the graph of one line has an 'x' and a 'y' that make the equation
of the line a true statement.

When there are two equations, and you're looking for the solution to both of them,
you're looking for one pair of numbers ... 'x' and 'y' ... that make both equations
true statements. 

But every pair of numbers 'x' and 'y' is a point on the graph of the line.  So the
same pair of numbers 'x' and 'y' must be a point on the graphs of both equations. 
The only point that's on the graph of both equations is the point where the graphs
of both equations intersect.


We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.