solve: x+y =8 and
x-y=2
Answers
x + y = 8
x - y = 2
Add both the equations:-
x + y + x - y = 8 + 2
2x = 10
Therefore,
x = 10/2 = 5 ............( 1 )
Now ,
put the value of x in 1st equation:-
x + y = 8
5 + y = 8
Therefore ,
y = 8 - 5 = 3........... ( 2 )
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The required solution is x = 5 , y = 3
Given :
The system of equations x + y = 8 , x - y = 2
To find :
Solve the equations
Solution :
Step 1 of 2 :
Write down the given system of equations
Here the given system of equations are
x + y = 8 - - - - - - (1)
x - y = 2 - - - - - - (2)
Step 2 of 2 :
Solve the system of equations
x + y = 8 - - - - - - (1)
x - y = 2 - - - - - - (2)
Adding Equation 1 and Equation 2 we get
x + y + x - y = 8 + 2
⇒ 2x = 10
⇒ x = 10/2
⇒ x = 5
Putting x = 5 in Equation 1 we get
5 + y = 8
⇒ y = 8 - 5
⇒ y = 3
Hence the required solution is x = 5 , y = 3
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