Maths-
General
Easy

Question

Solve the following by using the method of substitution
Y =  X + 5
3X + Y = 13

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 ; y = 7


    Ans :- x = 2 ; y = 7
    Explanation :-
    ⇒  y = x + 5  — eq 1
    3x + y  = 13 —- eq 2
    Step 1  :-  find x by substituting  y  = x + 5 in eq 2.
    3x + (x + 5)  = 13  ⇒  3x + x + 5 = 13
    ⇒ 4x + 5 = 13 ⇒   4x   = 8
    ⇒   x = 2
    Step 2 :- substitute value of x and find y
    ⇒    y   =   x + 5    ⇒   y   =  2 + 5
    ∴  y = 7
    ∴  x = 2  and  y = 7  is the solution of the given pair of equations

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