Question

A system of equations is shown below:

3x − y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.
Numerical Answers Expected!

Answer 1

3x − y = 2

y = 3x - 2

x + y = 6

x + 3x - 2 = 6

4x - 2 = 6

4x = 6 + 2

4x = 8

x =
`(8)/(4)`

x = 2

Hence, the x co-ordinate is 2.

Answer 2

The x-coordinate of the solution to this system of equations is
`2`

Explanation:

we have

`3x-y=2` ------> equation A

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

Adds equation A and equation B

`3x-y=2\\x+y=6\\--------\\ 3x+x=2+6\\4x=8\\x=2`