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Solve each system by graphing. If a system has no solution or infinitely many solutions, so state. $$\left\{\begin{array}{l}{y=3 x} \\{y-3 x=-3}\end{array}\right.$$
No solution
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
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So we got a system here and in the system. The first equation is why equals three acts in the second equation is why minus three acts, uh, equals negative three. Man. Does that look good? Yes. So now we're gonna grab him. 1st 1 you can put plus zero right there, because then you can see the slope is three. And why intercept? Zero. So am Mr Egg Chemistry and be a zero on the second equation. Because it's a standard form. I like to get my ex intercept and my Why intercept? So if x zero why has to equal negative three and if y zero excess to equal just one? So then we can draw a graph? Yeah. The y equals three ex starts at zero, and it goes up three over one like that. The blue graph starts down here Negative three. And it goes also up 3/1. So because they both have that same slope triangle, there's no solution because they are parallel lines.
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