How do you solve the following system: $2x + y = 8 , 3x -2y=24$ ?

Question

3446 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-09T03:52:23

$color(maroon)(x = 40/7, y = -24/7$

$2x + y = 8, " Eqn (1)"$

$3x - 2y = 24, " Eqn (2)"$

$4x+ 2y = 16, " Eqn(1) * 2"$

$"Adding Eqn(1) * 3 + Eqn(2)"$

$7x = 40$

$color(maroon)(x = 40/7$

Substituting value of x in Eqn (1),

$(2*40)/7 + y = 8$

$color(maroon)(y = 8 - 80/7 = -24/7$

How do you solve the following system: 2x + y = 8 , 3x -2y=24 2x + y = 8 , 3x -2y=24 ?