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

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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#