How do solve the following linear system?: # 5x+2y=2, 3x - y = -6 #?

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Answer 1 · 2015-11-24T22:46:06

#(-10/11,36/11)#

Multiply the second equation by #2#.

#{(5x+2y=2),(6x-2y=-12):}#

Add the equations.

#11x=-10#

#color(blue)(x=-10/11#

Plug the newfound value for #x# in to either equation to determine #y#.

#5x+2y=2=>5(color(blue)(-10/11))+2y=2#

#-50/11+2y=22/11#

#2y=72/11#

#color(green)(y=36/11#

Write the answers in an ordered pair: #(-10/11,36/11)#