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Find the slope and the $y$ -intercept of the graph of each line in the system of equations. Then, use that information to determine the number of solutions of the system. $$\left\{\begin{array}{l}{x+y=1} \\{2 x-2 y=5}\end{array}\right.$$
slope $=1$
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 1
Solving Systems of Equations by Graphing
Equations and Inequalities
Systems of Equations and Inequalities
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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So we've got our system of equations again. The first equation, X plus y equals one second equation to X minus two Y equals fine. We're gonna find sloping. Why intercept? So, for the, uh, shop equation there, I'm gonna sue Tracked X from both sides. So why equals negative X plus one slope? Negative one? Why intercept positive one for the blue line. And I subtract two x. So negative, too. Why? People's negative two X plus five and then divide by. Negative too. So why equals one X minus five has the m is positive one. And the bee is negative. Five halves. And that's how many solutions are there. And there is one solution because they have different slopes. And so the difference love scenes. They're gonna cross each other. It's, um
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