Respuesta :

Answer:

2x + 4y = 4

-8x + 8y = -16.

Step-by-step explanation:

We can find an equivalent system by multiply the 2 equations by 2.

x + 2y = 2  multiplied by 2 is 2x + 4y = 4.

Answer:

[tex]x=2, y=0[/tex]

Step-by-step explanation:

Given Equations:

  [tex]x + 2y = 2[/tex]       Equations:1

[tex]-4x + 4y = -8[/tex]     Equation:2

Multiplying equation:1 by '2'

[tex]2x + 4y = 4[/tex]         Equation:3

Using Elimination Method, Subtracting Equation:2 from Equation:3

[tex]2x+4y-(-4x + 4y) = 4-(-8)[/tex]

                  [tex]2x+4y+4x - 4y = 4+8\\6x=12\\x=\frac{12}{6} \\x=2[/tex]

Putting the value of 'x' in Equation:1

                [tex]x + 2y = 2[/tex]

                   [tex]2 + 2y = 2\\2y=2-2\\2y=0\\y=0[/tex]

The value of 'x' is 2

The value of 'y' is 0