Question

Determine the correct answer to the following

system of equations:
=
3x – y = 2
-2x + 4y = -8

Answer 1

3xy=2 2x4y=8

3x2=6x8=48x8

Answer 2

(0,-2)

Explanation:

one way to solve...

3x - y = 2 --> *4

-2x + 4y = -8

multiply the first equation by 4

12x - 4y = 8

-2x + 4y = -8

-----------------

10x = 0

x = 0

y = -2

this method is called elimination

another way to solve...

3x - y = 2 simplify for y to get y = 3x - 2

-2x + 4y = -8 substitute y into this equation to solve for x

-2x + 4(3x - 2) = -8

-2x + 12x - 8 = -8

10x = 0

x = 0

y = -2

substitution

alsoo if there are options, just plug in the numbers to the correct variables