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Chapter 5: Problem 71
Explain how to solve a system of equations using the addition method. Use \(3 x+5 y=-2\) and \(2 x+3 y=0\) to illustrate your explanation.
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In Exercises \(19-30,\) solve each system by the addition method. \(3 x+2 y=14\) \(3 x-2 y=10\)
Sketch the graph of the solution set for the following system of inequalities: $$ \begin{array}{ll}y \geq n x+b & (n<0, b>0) \\\y \leq m x+b & (m>0, b>0)\end{array} $$
Sketch the graph of the solution set for the following system of inequalities: $$ \begin{array}{r}|x+y| \leq 3 \\\|y| \leq 2\end{array} $$
In Exercises \(31-42,\) solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. \(\frac{x}{4}-\frac{y}{4}=-1\) \(x+4 y=-9\)
In Exercises \(31-42,\) solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. \(y=3 x-5\) \(21 x-35=7 y\)
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