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

Answer:

you just need to devide by 2 the second equation

Step-by-step 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.

Answer 2

Answer:

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

Step-by-step 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.

$\frac{2x+4y}{2}=\frac{32}{2}$

$x+2y=16$

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