Maths-

General

Easy

Question

# Solve the following by using the method of substitution

Y = 4 - X

Y = X - 2

Hint:

### find x by substituting y (in terms of x) in the equation and find y by substituting value of x in the equations .

## The correct answer is: x = 3 and y = 1 is the solution of the given pair of equations

### Ans :- x = 3 ; y = 1

Explanation :-

y = 4 - x— eq 1

y = x - 2—- eq 2

Step 1 :- find x by substituting y = 4 - x in eq 2.

4 – x = x – 2 ⇒ 4 + 2 = x + x

⇒ 6 = 2x ⇒ x =

⇒ x = 3

Step 2 :- substitute value of x and find y

⇒ y = 4 – x ⇒ y = 4 - 3

∴ y = 1

∴ x = 3 and y = 1 is the solution of the given pair of equations

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