Question

Question 7 Fatima and Abdullah disagreed about the answer to a problem listed below. Fatima said that the equation they were working on has infinitely many solutions while Abdullah says there are no solutions. Who is correct or is no one correct? Solve 10y + 7 – 4y = -5 + 6y + 22. Оа Ob No one; Two solutions Fatima; Infinitely many solutions No one; Only one solution Abdullah; No solutions Ос Od

Answer 1

Well let's take the equation and try to clear y:

`10y+7-4y=-5+6y+22`

Let's put every term with the variable y on the left side of the equation and the rest of the terms in the right side:

`10y-4y-6y=-5+22-7`

Then:

`10y-4y-6y=10y-10y=0=-5+22-7=10`

And finally:

`0=10`

Every time you try to solve an equation and end in a situation like this (two numbers that are not the same being equalized) it's said you reached an absurd. Ending in an absurd means that the equation has no solution, that is to say, there's no possible value for the variable y.