Question

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

Answer 1

2x + 4y = 4

-8x + 8y = -16.

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

`x=2, y=0`

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=(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