Question

Which equation shows y=-x+4 is in standard form?

2x - y=8
Ox+2y=-8
O
x + 2y = 8
2x + y = 8

Answer 1

(c)
`x + 2y = 8`

Explanation:

The question is missing some important data which is necessary to solve it.

The correct question is as follows:

Which equation shows
`y=-(1)/(2)x+4` is in standard form?

(a)
`2x-y=8`

(b)
`x + 2y=-8`

(c)
`x + 2y = 8`

(d)
`2x + y = 8`

Solution:

Given equation:

`y=-(1)/(2)x+4`

To convert the given equation to standard form.

The standard form of a linear equation is given by:

`Ax+By=c`

where

A is a positive integer and B and C are integers

We have:

`y=-(1)/(2)x+4`

Multiply both sides by 2 to remove the fraction

`2y=(-(1)/(2)x* 2)+(4* 2)`

`2y=-x+8`

Adding
`x` both sides

`x+2y=x-x+8`

`x+2y=8`

∴ The standard form of the equation is ⇒
`x+2y=8`