Maths-

General

Easy

Question

# Use Substitution to solve each system of equations :

X + 2Y = -10

Y = -0.5X + 2

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 = -0.5x + 2 — eq 1

x + 2y = -10 —- eq 2

Step 1 :- find x by substituting y = -0.5x + 2 in eq 2.

x + 2 (-0.5x + 2 )= -10 ⇒ x - x + 4 = -10

4 = -10

Here we get 4 = -10 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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