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Solve by Substitution
Contributed by: Terman
(Original author: Miles)
You will solve systems of equations 
using substitution.
Type the expressions into each box to show how you could use substitution to solve each system.
The final solutions will be in (x, y) form.
Solve by Substitution 
Solve the given system of equations using substitution.
The solution to the system is:  
2(      ) – y = 7
x = 52x – y = 7
y = 
– y = 7
(    ,     )
Solve the given system of equations using substitution.
The solution to the system is:  
5x –         = –38
5x = 
y = 35x – y = –38
x = 
(     ,     )
Solve the given system of equations using substitution.
The solution to the system is:  
4x – (        )= 
4x +        = 
4x = 
x = 
y = -14x – y = 25
(     ,     )
Solve the given system of equations using substitution.
The solution to the system is:  
3x =      
-2x = 
y = 3xy = 5x – 14
x = 
(     ,      )
Solve the given system of equations using substitution.
The solution to the system is:  
2x + 1 =      
      + 1 = 
      x = -6
y = 2x + 1y = -x - 5
x = 
(     ,      )
Solve the given system of equations using substitution.
The solution to the system is:  
2x +          = 19
y = x + 12x + y = 19
3x = 
x = 
+ 1 = 19
(    ,     )
y = x + 1
y =         + 1
Solve the given system of equations using substitution.
The solution to the system is:  
x +       = 12
y = 2xx + y = 12
y = 2 • 
x = 
= 12
(     ,     )
Solve the given system of equations using substitution.
The solution to the system is:  
5y = 
y = 
x = 3y – 1x + 2y = 9
+ 2y = 9
- 1 = 9
x = 3(      ) – 1
(     ,     )
x =      – 1
Solve the given system of equations using substitution.
The solution to the system is:  
4x - (           ) = 7
4x                 = 7
y = 2x – 54x - y = 7
2x = 
x = 
+ 5 = 7
(     ,     )
y = 2(      ) – 5
y =      – 5
y = 
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