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