Maths-

General

Easy

Question

# Solve System of equations using Substitution :

5X - Y = -4

Y = 5X - 4

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 = 5x - 4 — eq 1

5x - y = -4 —- eq 2

Step 1 :- find x by substituting y = 5x - 4 in eq 2.

5x - (5x - 4) = -4 ⇒ 5x - 5x + 4 = -4

4 = -4

Here we get 4 = -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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