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In Exercises 11 - 20, solve the system by the method of substitution. Check your solution(s) graphically.
$ \left\{\begin{array}{l}x - 4y = -11\\x + 3y = 3\end{array}\right. $
$(-3,2)$
Algebra
Chapter 7
Systems of Equations and Inequalities
Section 1
Linear and Nonlinear Systems of Equations
Equations and Inequalities
Oregon State University
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So for this were given a system of equations X minus four y is equal to negative 11 and X plus three. Wise is equal to three and grass to find the values of X allies and substitution so we can see that we can sell for Ex pretty easily. Just scoop it. This one. You could say that X is equal to 11. Plus, you can say that X is equal to four. Why minus 11 And so, using this weaken substituted here for extra for Y, minus 11 placing X Plus three y is equal to three. And so for WIPO's three Wise seven. Why, uh, minus 11 equals 23 We out 11 to both sides. We get 14. So why's he took it to and from here we can plug in here. You consult for X four times. Two months, 11. Now we know the value for why you get eight minus 11 Then to get that X is equal to negative three. And so, if you were to graph this, uh, the two grafts would intersect at negative 32 So I could grab this here and show you what this excites. We have X minus four. Y equals tonight 11 and then we can X plus three y equals +23 in the June crack intersect. Negative. 32 Oh, picture in this graph, you can see that. Yep, they intersect at
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