Question
Solve the following by using the method of substitution
Y = 4 - X
Y = X - 2
Hint:
find x by substituting y (in terms of x) in the equation and find y by substituting value of x in the equations .
The correct answer is: x = 3 and y = 1 is the solution of the given pair of equations
Ans :- x = 3 ; y = 1
Explanation :-
y = 4 - x— eq 1
y = x - 2—- eq 2
Step 1 :- find x by substituting y = 4 - x in eq 2.
4 – x = x – 2 ⇒ 4 + 2 = x + x
⇒ 6 = 2x ⇒ x = 
⇒ x = 3
Step 2 :- substitute value of x and find y
⇒ y = 4 – x ⇒ y = 4 - 3
∴ y = 1
∴ x = 3 and y = 1 is the solution of the given pair of equations
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