How do you solve the following system: #5x + 2y = 5, 3x - 4y = -23 #?

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Answer 1 · 2018-06-15T15:06:28

#color(maroon)(x = -1, y = 5#

#5x + 2y = 5#, Eqn (1)

#3x - 4y = -23#, Eqn (2)

Adding 2 * Eqn (1) with Eqn(2),

#10x + 4y + 3x - 4y = 10 - 23#

#13x = -13#

#x = -1#

Substituting for x in Eqn (1),

#(5 * -1) + 2y = 5#

#2y = 10# or #y = 5#