Question

Find an equivalent system of equations for the following system x + 2y = 2, -4x + 4y = -8

Answer 1

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 2

Answer:

$x=2, y=0$

Step-by-step explanation:

Given Equations:

  $x + 2y = 2$       Equations:1

$-4x + 4y = -8$     Equation:2

Multiplying equation:1 by '2'

$2x + 4y = 4$         Equation:3

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

$2x+4y-(-4x + 4y) = 4-(-8)$

                  $2x+4y+4x - 4y = 4+8\\6x=12\\x=\frac{12}{6} \\x=2$

Putting the value of 'x' in Equation:1

                $x + 2y = 2$

                   $2 + 2y = 2\\2y=2-2\\2y=0\\y=0$

The value of 'x' is 2

The value of 'y' is 0