Question

What is the value of x in the solution to the following system of equations?

x _ 2y = 2
3x + y = 6

Answer 1

`x=2`

Explanation:

we have

`x-2y=2` ------> equation A

`3x+y=6` ------> equation B

Multiply by
`2` equation B

`2*(3x+y)=2*6` ------>
`6x+2y=12` -----> equation C

Adds equation A and equation C

`x-2y=2\\6x+2y=12\\--------\\x+6x=2+12\\7x=14\\x=2`

Find the value of y

`x-2y=2`

`2-2y=2`

`2y=0`

`y=0`

Answer 2

the answer is
x _ 2y = 2
3x + y = 6
3x _ 6y = 6 (1
3x + y = 6 (2
(1 - (2
-7y=0, y=0, so x - 2.0=2 implies x=2