How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #8x-2y=6# and #3x+y=4#?

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Answer 1 · 2016-02-09T10:24:43

Solution is #x=1# and #y=1#

In these pair of linear equations, you can eliminate #x# simply by doubling and then addting second equation to first, which gives

#(8x-2y)+2*(3x+y)=6+2*4# i.e.

#8x+6x=6+8#

or #14x=14#

or #x=1#

Putting this in second equation #3*1+y=4# or

#3+y=4# i.e. #y=1#

Hence solution is #x=1# and #y=1#