Maths-
General
Easy

Question

Solve the following by using the method of substitution
Y =  X - 2
3X - 2Y = 7

hintHint:

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 =  x - 2 — eq 1
    3x  - 2y   = 7 —- eq 2
    Step 1 :- find x by substituting y =  x - 2 in eq 2.
    3x  - 2 (x - 2)  = 7   ⇒ 3x   -2x +  4 =  7
    ⇒  x  =  7 - 4  ⇒   x = 3
    ⇒  x = 3
    Step 2 :- substitute value of x and find y
    ⇒ y = x – 2  ⇒  y = 3 - 2
    ∴  y = 1
    ∴  x = 3  and y = 1  is the solution of the given pair of equations.

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