Question

How Many Solutions are there to the equation below

5x-8(x+5)=6-3x
a. Infinitely Many
b. 0
c. 1

Answer 1

no solutions would be correct so 0

Answer 2

b. 0

Explanation:

We have been given an equation
`5x-8(x+5)=6-3x`. We are asked to find the number of solutions for our given equation.

Let us solve our given equation. Using distributive property
`a(b+c)=ab+ac`, we will get:

`5x-8*x-8*5=6-3x`

`5x-8x-40=6-3x`

`-3x-40=6-3x`

Adding 3x on both sides of our equation, we will get:

`-3x+3x-40=6-3x+3x`

`-40=6`

Since both sides of our given equation are not equal, therefore, our given equation has no solution and option 'b' is the correct choice.