Maths-
General
Easy
Question
Solve the following by using the method of substitution
X = 2Y+ 3
11Y - 5X = -14
Hint:
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 = 5 and y = 1 is the solution of the given pair of equations
Ans :- x = 5 ; y = 1
Explanation :-
⇒ x = 2y + 3 — eq 1
11y - 5x = -14—- eq 2
Step 1 :- find y by substituting x = 2y + 3 in eq 2.
11y – 5 (2y + 3) = -14 ⇒ 11y - 10y – 15 = -14
⇒ y – 15 = -14 ⇒ y = 15 -14
⇒ y = 1
Step 2 :- substitute value of y and find x
⇒ x = 2y + 3 ⇒ x = 2 (1) + 3
∴ x = 5
∴ x = 5 and y = 1 is the solution of the given pair of equations
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