Question

How do you solve and check your solutions to `-3.2+z=-7.4`?

Answer 1

See a solution process below:

Explanation:

To solve, add `color(red)(3.2)` to each side of the equation to solve for `z` while keeping the equation balanced:

`color(red)(3.2) - 3.2 + z = color(red)(3.2) - 7.4`

`0 + z = -4.2`

`z = -4.2`

To check the solution substitute `color(red)(-4.2)` for `color(red)(z)` in the original equation and calculate the left side of the equation to ensure it equals `-7.4`:

`-3.2 + color(red)(z) = -7.4` becomes:

`-3.2 + color(red)(-4.2) = -7.4`

`-7.4 = -7.4`

Because both sides of the equation are equal this is the correct solution.