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Solve each system by substitution. If a system has no solution or infinitely many solutions, so state.$$\left\{\begin{array}{l}{a=9-2 b} \\{2(a+b)=13+a}\end{array}\right.$$
false no solution
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 2
Solving Systems of Equations by Substitution
Equations and Inequalities
Systems of Equations and Inequalities
Missouri State University
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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we have the following set of equations. Let's rewrite, uh, equation too expanded and simplify it. So we'll have to a plus to be here this 13 plus a Let's subtract a on both sides. So we'll get someone to say here my to say we'll get a plus to be is 13. Okay, now let's Ah so let's subtract to be on both sides so that we have a on one side. So a is 13 minus to B as well. So it looks like a here and a here. Ah, we have both expressions, so let's equate them to each other. In this case, we're gonna have ah, So is a nine minus to B is 13 minus to be nine months to be is 13 miners to be looks like to be here and to be are the same. So once you cancel those two out, or by adding to be you're gonna get nine is 13 that that's just not possible. So when you have something like that, you have no solution
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