Maths-
General
Easy

Question

Solve the following by using the method of substitution
X = 3Y - 5
3Y + 5X = 11

hintHint:

find y by substituting x (in terms of y) in the equation and find x by substituting value of  y in the equations.

The correct answer is: x = 1 ; y = 2


    Ans :-  x = 1 ; y = 2
    Explanation :-
    ⇒  x = 3y - 5 — eq 1
    3y + 5x = 11—- eq 2
    Step 1 :- find y by substituting  x = 3y - 5 in eq 2.
    3y + 5 (3y -5) = 11 ⇒  3y + 15y – 25 = 11
    ⇒ 18y = 25 +  11 ⇒ 18y = 36
    ⇒ y = 2
    Step 2 :- substitute value of y and find x
    ⇒  x = 3y – 5 ⇒  x = 3(2) - 5
    ⇒ x = 6-5
    ∴   x = 1
    ∴  x = 1 and y = 2  is the solution of the given pair of equations.

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