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Problem 11

Solve each system of equations by the addition method. If a system contains fractions or decimals, you may want to first clear each equation of fractions or decimals.$$ \left\\{\begin{array}{l} x+y=6 \\ x-y=6 \end{array}\right. $$

Problem 11

Solve each system of linear equations by graphing. See Examples 3 through \(6 .\) \(\left\\{\begin{array}{l}x+y=6 \\ -x+y=-6\end{array}\right.\)

Problem 11

Solve. Two numbers total 83 and have a difference of 17 . Find the two numbers.

Problem 12

Solve each system of linear equations by graphing. See Examples 3 through \(6 .\) \(\left\\{\begin{array}{l}x+y=1 \\ -x+y=-3\end{array}\right.\)

Problem 12

Solve each system of equations by the substitution method. $$ \left\\{\begin{array}{l} x+3 y=-5 \\ 2 x+2 y=6 \end{array}\right. $$

Problem 12

Solve each system of equations by the addition method. If a system contains fractions or decimals, you may want to first clear each equation of fractions or decimals.$$ \left\\{\begin{array}{l} x-y=1 \\ -x+2 y=0 \end{array}\right. $$

Problem 12

Solve. The sum of two numbers is 76 and their difference is 52. Find the two numbers.

Problem 13

Solve each system of equations by the substitution method. $$ \left\\{\begin{array}{l} 3 x+2 y=16 \\ x=3 y-2 \end{array}\right. $$

Problem 13

Solve each system of linear equations by graphing. See Examples 3 through \(6 .\) \(\left\\{\begin{array}{l}y=2 x \\ 3 x-y=-2\end{array}\right.\)

Problem 13

Solve each system of equations by the addition method. If a system contains fractions or decimals, you may want to first clear each equation of fractions or decimals.$$ \left\\{\begin{array}{l} 2 x+3 y=0 \\ 4 x+6 y=3 \end{array}\right. $$

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