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

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Answer 1 · 2018-07-02T09:02:16

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

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

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

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

$2x = - 2x - 5$

$4x = 5 " or " x = 5/4$

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

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