examples on substition problems for systems of equations

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EXAMPLE # 1
 

HOW TO DO THE PROBLEM

Y= -X+6
X-2Y= -6

X-2(-X+6)= -6
X+2X+6= -6
X+2X= 12
3X=-12
X= 4

Y= -4+6
Y= 2

( 4 , 2 )






 


 
 

   * First you should substitute what Y equals in the top equation into where the Y is in the second equation.

   * Next you should solve the problem as shown to the left.    

   * By now you should have what X equals 

   * Now that you have what X equals you should substitute it back into where the X is in the first equation 

   * Now you have your X and your Y
 
 
 
 
 
 
 


 
 
EXAMPLE # 2
HOW TO SOLVE THE PROBLEM
 

X= Y-15
X+Y= -5

Y-15+Y= -5
2Y=10
Y=5

X=5-15
X=-10
 

( -10 , 5 )


 
 
 

   * First you should substitue what the x equals in the first equation into where the x is in the second equation 

   * next solve that equation

   * Now you should have what y equals

   * now go back to the second equation and put what y is back into the first equation t o get x

* now you solve and you should have what x and y equal
 

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