Respuesta :

Hello Peredhel.
We have to solve for z...

The unknown term 'z' must be at left and the known terms at the right.

The first thing to do, is to move all the 'z' at the left of equal but changing sign. The known terms must go to the right of equal and changing sign.

So, rewrite as:

9z + 7z - 16z = -6 + 6

0z = 0

The equation is indeterminated. There are infinite solutions, all real numbers.

Hope that helped!

The equation has infinitely many solutions because -6 = - 6 is always true for all z.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation:

9z - 6 + 7z = 16z - 6

After solving:

16z - 6 = 16z - 6

-6 = - 6 (always true)

Thus, the equation has infinitely many solutions because -6 = - 6 is always true for all z.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

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