Maths-

General

Easy

Question

# Use Substitution to solve each system of equations :

6X - 3Y = -6

Y = 2X + 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 = 2x + 2— eq 1

6x - 3y = -6—- eq 2

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

6x - 3 (2x + 2) = -6 ⇒ 6 x -6x - 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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