Question

How do solve the following linear system?: `5x+2y=2, x + y = 2`?

Answer 1

`x=-2/3` and `y =8/3`

Explanation:

Subtract y from both sides of the second equation and get `x=2-y`. Substitute this value of x in the first equation and get `5(2-y)+2y=2`. Expanding the first term gives 10-5y+2y=2.Subtracting 10 from both sides and simplifying gives `-3y=-8`. So, `y=8/3`. Substituting this value of y in `x=2-y` gives `x=2-(8/3)`, so `x=6/3 - 8/3` = `-2/3`.