Question

5.The following equation is solved for x. Match the properties below to justify the reason in each step.x + 2y-62

Answer 1

We have to solve the following equation for x:

`(x+2y)/(2)=6+z`

We multiply by 2, by the multiplication property of equality:

`2\cdot(x+2y)/(2)=2\cdot(6+z)`

This equation is equivalent to:

`x+2y=2\cdot(6+z)`

By the distributive property we have that:

`x+2y=12+2z`

And by the subtraction property of equality we get:

`x+2y-2y=12+2z-2y`

This is equivalent to:

`x=12+2z-2y`

And re-using the distributive property we obtain:

`x=2(6+z-y)`