Question

How do you solve the following linear system: `2x-y=2, 6x-y= -2`?

Answer 1

By substitution `x = -1, y = -4`

Explanation:

Rearrange one of the expressions to get y on its own on the LHS, then substitute in the other equation.
`y = 2x - 2`
Then `6x -(2x-2) = -2`
4x = -4# #x=-1#

Then `y = 2(-1) - 2 = -4`