1.1 Integers and Rational Numbers

12.1. Solving Linear Systems by Graphing www.ck12.orgIn order to find when and where Nadia and Peter meet, well graph both lines on the same graph and extend the linesuntil they cross. The crossing point is the solution to this problem.The graph shows that Nadia and Peter meet 20 seconds after Nadia starts running, and 120 feet from the startingpoint.These examples are great at demonstrating that the solution to a system of linear equations means the point at whichthe lines intersect. This is, in fact, the greatest strength of the graphing method because it offers a very visualrepresentation of system of equations and its solution. You can also see, though, that finding the solution from agraph requires very careful graphing of the lines, and is really only practical when youre sure that the solution givesinteger values for x and y. Usually, this method can only offer approximate solutions to systems of equations, so weneed to use other methods to get an exact solution.Practice SetDetermine which ordered pair satisfies the system of linear equations.1.238(a) (1, 4)(b) (2, 9)(c) ( 12 , −1 )2y = 3x − 2y = −x