Question

Write y+4=2(x-7) in standard form

An equation is [blank]

Answer 1

`2x-y=18`.

Explanation:

Before checking this solutions, make sure to take a look at the attached image.

Now that you have seen how the standard form of a linear equation should look like, let's take the following steps to transform the given equation into standard form.

1. Write the expression.

`y+4=2(x-7)`

2. Solve the parenthesis at the right hand side of the equation.

`y+4=(2)(x)+(2)(-7)\\ \\y+4=(2x)+(-14)\\\\ y+4=2x-14`

3. Subtract 4 from both sides of the equation.

`y+4-4=2x-14-4\\ \\y=2x-18`

4. Subtract 2x from both sides of the equation.

`-2x+y=2x-2x-18\\ \\-2x+y=-18`

5. Multiply both sides of the equation by "-1".

The reason we do this step is because standard form is always written with a positive x coefficient.

`(-1)(-2x+y)=(-18)(-1)\\ \\2x-y=18`

6. Express your result.

Standard form of
`y+4=2(x-7)` is
`2x-y=18`.