Question

How do you solve the following system?: `2x - 4y = 5 , 3x + 2y = 3`

Answer 1

`color(green)(x = 11/8, y = -9/16`

Explanation:

`2x - 4y = 5, " Eqn (1)"`

`3x + 2y = 3, " Eqn (2)"`

`6x + 4y = 6, " Eqn (2) * 2"`

`"Adding Eqn (1) with (2 * Eqn (2))"`

`8x = 11`

`color(green)(x = 11/8`

Substituting value of x in Eqn (1),

`(2 * 11)/8 - 4y = 5`

`-4y = 5 - 22/8 = 9/4`

`color(green)(y = - 9/16`