A. Make a table of values in the given system of linear equations.
1.
x+y=102x+y=13\begin{lgathered}x + y = 10 \\ 2x + y = 13\end{lgathered}
x+y=10
2x+y=13
2.
x+y=2x−y=4\begin{lgathered}x + y = 2 \\ x - y = 4\end{lgathered}
x+y=2
x−y=4
B. Use the intercept method to find sets of ordered pairs and the given system of linear equations.
3.
x−y=37x−y=−3\begin{lgathered}x - y = 3 \\ 7x - y = - 3\end{lgathered}
x−y=3
7x−y=−3
4.
4x+y=2x−y=3\begin{lgathered}4x + y = 2 \\ x - y = 3\end{lgathered}
4x+y=2
x−y=3
C. Graph the above given system of linear equations. For set number 1 and 2, use the table of values method.
5.
x−y=102x+y=13\begin{lgathered}x - y = 10 \\ 2x + y = 13\end{lgathered}
x−y=10
2x+y=13
6.
x+y=2x−y=4\begin{lgathered}x + y = 2 \\ x - y = 4\end{lgathered}
x+y=2
x−y=4
For set number 3 and 4, use the intercept method.
7.
x−y=37x−y=−3\begin{lgathered}x - y = 3 \\ 7x - y = - 3\end{lgathered}
x−y=3
7x−y=−3
8.
4x+y=2x−y=3\begin{lgathered}4x + y = 2 \\ x - y = 3\end{lgathered}
4x+y=2
x−y=3
Activity 2
D. graph each system of linear equations.
9.
2x−y=24x−2y=4\begin{lgathered}2x - y = 2 \\ 4x - 2y = 4\end{lgathered}
2x−y=2
4x−2y=4
10.
x+y=−3x−y=−1\begin{lgathered}x + y = - 3 \\ x - y = - 1\end{lgathered}
x+y=−3
x−y=−1
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Answers
Given : 1. x+y=10 , 2x+y=13
2. x+y=2 , x−y=4
3. x−y=3 , 7x−y=−3
4. 4x+y=2 , x−y=3
5. x−y=10 , 2x+y=13
To Find : Solve for x & y
Solution:
1.
x+y=10 ,
2x+y=13
=> x = 3
y = 7
( 3 , 7)
2.
x+y=2 ,
x−y=4
=> 2x = 6 => x = 3
y = 1
( 3 , 1)
3.
x−y=3 ,
7x−y=−3
=> 6x = -6
=> x = - 1
=> y = -4
( 1, - 4)
4.
4x+y=2 ,
x−y=3
=> 5x = 5
=> x = 1
y = - 2
( 1 , - 2)
5.
x−y=10 ,
2x+y=13
=> 3x = 23
=> x = 23/3
y = -7/3
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Given : 1. x+y=10 , 2x+y=13
2. x+y=2 , x−y=4
3. x−y=3 , 7x−y=−3
4. 4x+y=2 , x−y=3
5. x−y=10 , 2x+y=13
To Find : Solve for x & y
Solution:
1.
x+y=10 ,
2x+y=13
=> x = 3
y = 7
( 3 , 7)
2.
x+y=2 ,
x−y=4
=> 2x = 6 => x = 3
y = 1
( 3 , 1)
3.
x−y=3 ,
7x−y=−3
=> 6x = -6
=> x = - 1
=> y = -4
( 1, - 4)
4.
4x+y=2 ,
x−y=3
=> 5x = 5
=> x = 1
y = - 2
( 1 , - 2)
5.
x−y=10 ,
2x+y=13
=> 3x = 23
=> x = 23/3
y = -7/3