How do solve the following linear system?: # x + y= 12 , 3x + 4y = -2 #?

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Answer 1 · 2018-05-09T05:14:17

#color(green)(x = 50, y = -38#

#x + y = 12, " Eqn (1)"#

#3x + 4y = -2, " Eqn (2)"#

#" Eqn ( 2) - 3 * Eqn (1) gives "#

#3x + 4y -3x -3y = -2 - 36#

#color(green)(y = -38#

Substituting value of y in Eqn (1),

#color(green)(x = 12 + 38 = 50#