Solve the following by substitution method :
X - 2Y = -4
5X - 3Y = 1

The correct answer is: x=2 and y =3 is the solution of the given pair of equations

Solution :-
Hint :- find y by substituting x (in terms of y) in the equation and find x by substituting value of  y in the equations  .
Ans :- x = 2; y = 3
Explanation :-
x - 2y = -4 ⇒ x = 2y - 4  — eq 1
5x - 3y = 1 —- eq 2
Step 1 :- find y by substituting x = 2y - 4 in eq 2.
5(2y - 4) - 3y = 1 ⇒10y - 20 - 3y = 1
⇒7y = 20 + 1 ⇒ 7y = 21
⇒y = 3
Step 2 :- substitute value of y and find x
⇒x = 2y - 4 ⇒ x = 2(3) - 4
∴ x = 2
∴ x = 2 and y = 3  is the solution of the given pair of equations