Question

How many solutions exist for the given equation?

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

zero
one
two
infinitely many

Answer 1

one only

Bcoz it is a linear equation in x
linear equation has degree 1.. So no of solutions also 1

Answer 2

One solution exists.

Step-by-step explanation:

We have,

$0.75(x+40)=0.35(x+20)+0.35(x+20)$

To find, number of solutions exist = ?

∴ $0.75(x+40)=0.35(x+20)+0.35(x+20)$

⇒ $0.75x+30=0.35x+7+0.35x+7$

⇒ $0.75x+30=0.7x+14$

⇒ $0.75x-0.7x=14-30$

⇒ $0.05x=-16$

⇒ $x=\dfrac{-16}{0.05}$

Hence, one solution exists.