Maths-

General

Easy

Question

# 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

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