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Alexxx [7]
3 years ago
11

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
Mathematics
2 answers:
tiny-mole [99]3 years ago
6 0

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.

Lera25 [3.4K]3 years ago
6 0

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.

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