Maths-

General

Easy

Question

# Solve System of equations using Substitution :

X = Y + 6

X + Y = 10

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 = 8 ; y = 2

Ans :- x = 8 ; y = 2

Explanation :-

X = y + 6 — eq 1

X + y = 10—- eq 2

Step 1 :- find y by substituting x = y + 6 in eq 2.

x + y = 10 ⇒ y + 6 + y = 10

⇒ 2y = 10 – 6 ⇒ 2y = 4

⇒ y = 2

Step 2 :- substitute value of y and find x

⇒ x = y+6 ⇒ x = (2) + 6

∴ x = 8

∴ x = 8 and y = 2 is the solution of the given pair of equations

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