Linear+Systems-Target+A-Where+Do+We+Meet?-Practice+Problems

** Target 5A: Solve a linear system of equations. (By graphing, substitution, linear combination) **
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 * Explore: Write down the system in your homework and solve the system by hand. Check your answer by dragging the red "solution" dot to the point of intersection Assume the graph has a scale of [1:1]. If you want more practice, click on the "New Points" button.**


 * Solve the system of linear equations by hand or by using a graphing utility.**

math \textbf{1)} \ \ \begin{cases} y=2x+4\\ y=\text{-}x+10\\ \end{cases} math

math \textbf{2)} \ \ \begin{cases} y=\text{-}\dfrac{1}{2}x+4\\ y=\text{-}x\\ \end{cases} math

math \textbf{3)} \ \ \begin{cases} y=2x+3\\ y-x=\text{-}3\\ \end{cases} math

math \textbf{4)} \ \ \begin{cases} y=x-6\\ y=\dfrac{1}{3}x-4\\ \end{cases} math

math \textbf{5)} \ \ \begin{cases} y=\text{-}\dfrac{1}{2}x+1\\ y=\dfrac{3}{5}x-10\\ \end{cases} math

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math \textbf{6)} \ \ \begin{cases} \text{-}7x+2y=7\\ y=6x+1\\ \end{cases} math
 * Solve the system of linear equations by using substitution.**

math \textbf{7)} \ \ \begin{cases} 2x+9y=\text{-}4\\ x-2y=11\\ \end{cases} math

math \textbf{8)} \ \ \begin{cases} \text{-}5x-y=12\\ 3x-5y=4\\ \end{cases} math

math \textbf{9)} \ \ \begin{cases} y=-x+3\\ 3x-5y=25\\ \end{cases} math

math \textbf{10)} \ \ \begin{cases} x+y=11\\ 60x+55y=635\\ \end{cases} math

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math \textbf{11)} \ \ \begin{cases} x+5y=28\\ \text{-}x-2y=\text{-}13\\ \end{cases} math
 * Solve the system of linear equations by using linear combination.**

math \textbf{12)} \ \ \begin{cases} 6x+y=39\\ \text{-}2x+y=\text{-}17\\ \end{cases} math

math \textbf{13)} \ \ \begin{cases} 2y-3x=10\\ 7x=\text{-}2y-50\\ \end{cases} math

math \textbf{14)} \ \ \begin{cases} 6x+5y=19\\ 2x+3y=5\\ \end{cases} math

math \textbf{15)} \ \ \begin{cases} 4x+5y=35\\ 2y=3x-9\\ \end{cases} math

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math \textbf{16)} \ \ \begin{cases} y=x+4\\ y=\text{-}3x-2\\ \end{cases} math > media type="custom" key="26434558"
 * Determine which method would be most efficient to use to solve each system. Then, solve the system using that method.**

math \textbf{17)} \ \ \begin{cases} 5x+y=\text{-}4\\ x-y=\text{-}2\\ \end{cases} math > media type="custom" key="26407738"

math \textbf{18)} \ \ \begin{cases} \text{-}0.45x-y=1.35\\ \text{-}1.8x+y=\text{-}1.8\\ \end{cases} math > media type="custom" key="26407738"

math \textbf{19)} \ \ \begin{cases} 3x-2y=\text{-}5\\ 4x+3y=\text{-}18\\ \end{cases} math > media type="custom" key="26435792"

math \textbf{20)} \ \ \begin{cases} y=3x+12\\ y=\text{-}4x-2\\ \end{cases} math > media type="custom" key="26434562"

math \textbf{21)} \ \ \begin{cases} \dfrac{1}{2}x+\dfrac{3}{4}y=5\\ x-\text{1}{2}y=6\\ \end{cases} math > media type="custom" key="26435788"

math \textbf{22)} \ \ \begin{cases} \text{-}7x+2y=7\\ y=6x+1\\ \end{cases} math > media type="custom" key="26407750"

math \textbf{23)} \ \ \begin{cases} y=3x+2\\ x=11-2y\\ \end{cases} math > media type="custom" key="26407750"

math \textbf{24)} \ \ \begin{cases} x-2y=\text{-}6\\ 4x+6y=4\\ \end{cases} math > media type="custom" key="26435790"

math \textbf{25)} \ \ \begin{cases} 4x-5y=35\\ 2y=3x-9\\ \end{cases} math > media type="custom" key="26435794"