Maths-

General

Easy

Question

# Solve System of equations using Substitution :

Y = 3X + 1

6X - 2Y = -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 = 3x + 1 — eq 1

6x - 2y = -2 —- eq 2

Step 1 :- find x by substituting y =3x+1 in eq 2.

6x - 2 (3x + 1) = -2 ⇒ 6x - 6x - 2 = -2

-2 = -2

Here we get -2 = -2 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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