Question

# Solve the following by using the method of substitution

X = -7Y - 1,

X = -Y + 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 = 13 and y = -2

### Ans :- x = 13; y = -2

Explanation :-

⇒ x = -7y - 1 — eq 1

X = -y + 11 —- eq 2

Step 1 :- find y by substituting x = -7y -1 in eq 2.

-7y – 1 = -y + 11 ⇒ -11 -1 = 7y - y

⇒ 6y = -12 ⇒ y = -2

⇒ y = -2

Step 2 :- substitute value of y and find x

⇒ x = - y + 11 ⇒ x = - (-2) + 11

⇒ x = 2 + 11

∴ x = 13

∴ x = 13 and y = -2 is the solution of the given pair of equations.

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