Question

How do you solve the system of linear equations `y=2x` and `y=-2x-5`?

Answer 1

`color(purple)(x = 5/4, y = 5/2`

Explanation:

`y = 2x, " Eqn (1)"`

`y = -2y - 5, " Eqn (2)"`

Substituting value of y in terms of x in Eqn (2),

`2x = - 2x - 5`

`4x = 5 " or " x = 5/4`

`y = 2x = 2 * (5/4) = 5/2`