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Solve each system by graphing. If a system has no solution or infinitely many solutions, so state. $$\left\{\begin{array}{l}{y=-\frac{1}{2} x-3} \\{x+2 y=2}\end{array}\right.$$
$x+2 y=-6-(1 i)$
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
Missouri State University
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
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so I've got a system of equations. First equation. Why equals negative 1/2 X minus tree second equation X plus two y equals two Because the first ones in slope intercept form I would just write em is negative 1/2 and be his negative three and use that information to a graph it so you would be of negative. Three. So Red Line starts at negative three, and then it goes down one and over to That's the slope You just so that's my red line for the blue and I did through intercepts. So if X was equal to zero, why would have to equal 12 times one on the other side if y is equal to zero except equal to so there's 20 there's 01 and if you look, you can see they both have that same slope of one at negative one hash. And so because they have the same slope, you can call them parallel. And that means there's no solution. You don't cross
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