Maths-
General
Easy

Question

Solve the following by using the method of substitution
Y = X-1
3X + 2Y = 8

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 = 2 and y = 1 is the solution of the given pair of equations.


    Ans :-   x =  2 ; y = 1
    Explanation :-
    ⇒  y = x - 1 — eq 1
    3x + 2y  = 8—- eq 2
    Step 1 :- find x by substituting y =  x - 1 in eq 2.
    3x  + 2 (x - 1) = 8  ⇒  3x + 2x – 2 = 8
    ⇒  5x =  8 + 2 ⇒  5x  = 10
    ⇒ x = 2
    Step 2 :- substitute value of x and find y
    ⇒  y =  x – 1 ⇒ y = 2-1
    ∴ y= 1
    ∴  x = 2 and y = 1  is the solution of the given pair of equations.

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