Maths-

General

Easy

Question

# Solve System of equations using Substitution :

X + Y = - 4

Y = - X + 5

Hint:

### find x by substituting y (in terms of x) in the equation and find y by substituting the value of x in the equations .If we get an true statement we say they have infinite solutions .If we get the false statement we say they have no solution.

## The correct answer is: They have no solution for the given system of equations

Ans :-no solution.

Explanation :-

y = - x + 5 — eq 1

x + y = - 4 —- eq 2

Step 1 :- find x by substituting y = - x + 5 in eq 2.

x + (- x + 5) = - 4 ⇒ x - x + 5 = -4

5 = -4

Here we get 5 = -4 which is always false i.e solutions do not exist

They are parallel with each other and have no solutions

∴ They have no solution for the given system of equations.

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