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

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Answer 1 · 2018-05-09T04:05:52

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

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

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

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

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

$8x = 11$

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

Substituting value of x in Eqn (1),

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

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

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

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