Maths-

General

Easy

Question

# Use Substitution to solve each system of equations :

2X - 3Y = 6

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 .If we get a 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 infinite no.of solutions for the given system of equations

### Ans :- infinite no.of solutions .

Explanation :-

y = x - 2 — eq 1

2x - 3y = 6 —- eq 2

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

2x - 3(x - 2) = 6 ⇒ 2x - 2x - 6 = 6

6 = 6

Here we get 6 = 6 which is always true i.e always having a root .

They coincide with each other and have infinite no.of solutions

∴ They have infinite no.of solutions for the given system of equations.

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