Question

Given the following system of equations: −x + y = 2 2x + 4y = 32 What action was completed to create this new equivalent system of equations? −x + y = 2 x + 2y = 16

Answer 1

First equation remains same and second equation is divided by 2.

Explanation:

The given system of equations is

`-x+y=2`

`2x+4y=32`

The new system of equation is

`-x+y=2`

`x+2y=16`

On comparing both system of equation we get that first equation of both systems are same.

If a we divide the second equation of original system of equations, then we get the second equation of new system of equations.

Second equation is

`2x+4y=32`

Divide both sides by 2.

`(2x+4y)/(2)=(32)/(2)`

`x+2y=16`

Therefore, we need to divide the second equation by 2, to create this new equivalent system of equations.

Answer 2

you just need to devide by 2 the second equation

Explanation:

• -x + y = 2 (you leave it as it is)

• 2x + 4y =32 => 2x/2 +4y/2 = 32/2

=> x + 2y =16

we can devide or multiply in an equation by any number we want, as long as we do it to every term.