Question

How do you write `1/2x + y = 3` in standard form?

Answer 1

`y = -1/2x +3`

Explanation:

For this equation, the standard form is `y = mx + c`. We have to rearrange our equation, `1/2x + y = 3`, so it fits this standard form.

We are looking to have only `y` on one side of the equation, and then a number multiplied by `x`, then another number added on the other side.

Luckily, it is not too complicated in this case. We can simply subtract `1/2x` from both sides of the equation, giving:

`y = 3 - 1/2x`

we can rearrange this to give

`y = -1/2x + 3`

This fits our standard form, `y = mx + c`. This means that in this case, `m = -1/2`, and `c = 3`

Answer 2

`1x+2y=6`

Explanation:

My understanding of "standard form" for a linear equation is
`color(white)("XXX")Ax+By=C`
with integer constant values for `A, B, C` and `A>=0`

Multiplying both sides of the given equation by `2` gives the answer above.