Question

How do you solve the following linear system: # 2x+y=0, y = 4x - 3 #?

Answer 1

x=1/2 & y=-1

Explanation:

The way is very simple. Just eliminate one of the variable by substituting its value in the other equation.
`2x + y =0` ——— (i)
`y=4x-3` ——— (ii)

Using the value of ‘y’ from equation (ii), we have :-
`2x +(4x-3) =0`
i.e., `x=1/2`
Now put the value of x in any of the equations to get the value of y.

`:. x=1/2 and y=-1`

Hope it helps :)