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Problem 26

In Exercises \(1-44,\) solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{rr} 3 x-y= & 22 \\ 4 x+5 y= & -21 \end{array}\right.$$

Problem 26

Solve each system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}4 x-y=100 \\\0.05 x-0.06 y=-32\end{array}\right.$$

Problem 26

Solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}y=3 x-1 \\ y=3 x+2\end{array}\right.$$

Problem 27

Solve each system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}y=\frac{1}{3} x+\frac{2}{3} \\\y=\frac{5}{7} x-2\end{array}\right.$$

Problem 27

In Exercises \(1-44,\) solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} 4 x=5+2 y \\ 2 x+3 y=4 \end{array}\right.$$

Problem 27

Solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}x+y=4 \\ x=-2\end{array}\right.$$

Problem 27

Graph the solution set of each system of linear inequalities. $$\left\\{\begin{array}{l}x \geq 0 \\\y>0\end{array}\right.$$

Problem 28

In Exercises \(1-44,\) solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} 3 x=4 y+1 \\ 4 x+3 y=1 \end{array}\right.$$

Problem 28

Solve each system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}y=-\frac{1}{2} x+2 \\\y=\frac{3}{4} x+7\end{array}\right.$$

Problem 28

Solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}x+y=6 \\ y=-3\end{array}\right.$$

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