Maths-
General
Easy

Question

Solve the following by using the method of substitution
X = -7Y - 1,
X = -Y + 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 = 13 and y = -2


    Ans :-  x = 13; y = -2
    Explanation :-
    ⇒  x =  -7y - 1  — eq 1
    X = -y + 11 —- eq 2
    Step 1 :- find y by substituting  x = -7y -1  in eq 2.
    -7y – 1 = -y + 11 ⇒  -11 -1 =  7y - y
    ⇒  6y = -12 ⇒ y = -2
    ⇒ y = -2
    Step 2 :- substitute value of y and find x
    ⇒  x = - y + 11 ⇒  x = - (-2) + 11
    ⇒  x = 2 + 11
    ∴  x = 13
    ∴  x = 13 and y = -2  is the solution of the given pair of equations.

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