Question

Identify the first step in solving this equation for x : −3 = x/4 + 2 .

Answer 1

What is the solution of the equation 10z − 6 = 24 solving for z ?

Answer 2

Jonny is solving this equation for n : 8 + 3n = 20 . His first step is to subtract 8 from both sides of the equation. Why?

Answer 3

To solve the equation −3 = x/4 + 2 for x, the first step is to isolate the variable x by subtracting 2 from both sides.

Answer 4

To solve the equation 10z − 6 = 24 for z, the first step is to isolate the variable z by getting rid of the constant term and coefficients that are attached to it.

Start by adding 6 to both sides of the equation to eliminate the constant term on the left side:

10z − 6 + 6 = 24 + 6

This simplifies to:

10z = 30

Now, the equation is in the form of 10z = 30. To solve for z, we need to get rid of the coefficient of z by dividing both sides of the equation by 10:

(1/10) * (10z) = (30) * (1/10)

The coefficient simplifies to:

z = 3

So, the solution to the equation 10z − 6 = 24 is z = 3.

Answer 5

Jonny is subtracting 8 from both sides of the equation to eliminate the constant term on the left side.

By subtracting 8 from both sides, the equation becomes:

8 - 8 + 3n = 20 - 8.

Simplifying this results in:

3n = 12.

Now, the equation is in the form of 3n = 12. This step allows Jonny to isolate the variable n and move closer to finding its value.