Maths-

General

Easy

Question

# Solve System of equations using Substitution

Y = -2X + 5

2X + Y = 5

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 + 5— eq 1

2x + y = 5—- eq 2

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

2x + (- 2x + 5) = 5 ⇒ 2x - 2x + 5 = 5

5 = 5

Here we get 5 = 5 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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