Could someone please help me with this problem?
Solve using the multiplication principle. Don't forget to check.
-z=35.
The solution is z=
Multply both sides of the equation by
-1 to get an equation for z.
So then I would set the problem up like this: -1*-z=35*-1. z=-35.
Is this correct?
Yes, if they insist on your showing the (-1)* step. Usually that kind of thing is omitted when solving equations. It is rather obvious what is going on.
To solve the equation -z=35 using the multiplication principle, we need to isolate z on one side of the equation.
The multiplication principle states that if you multiply or divide both sides of an equation by the same non-zero number, the equality will still hold.
In this case, we have -z=35. To isolate z, we can multiply both sides of the equation by -1.
By multiplying both sides by -1, we get:
-1 * (-z) = -1 * 35
which simplifies to:
z = -35
Now that we have found the solution z = -35, we need to check if it's correct by substituting it back into the original equation -z = 35.
Let's substitute z = -35:
-(-35) = 35
35 = 35
Since both sides of the equation are equal, the solution z = -35 is correct.