How do I check my answer algebraically? the system of equations was 2y=5x-1, x+y=-1 the answer I got was x=-1/7 and y=-6/7

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Answer 1 · 2018-01-12T02:35:29

Please see below.

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Since these #x# and #y# values are the solution to the system of equations they should work in either equation. Let's try both:

#2y=5x-1#

#2(-6/7)=5(-1/7)-1#

#-12/7=-5/7-1=(-5-7)/7=-12/7#

Let's try the second equation;

#x+y=-1#

#-1/7+(-6/7)=-1/7-6/7=(-1-6)/7=-7/7=-1#

They both checked out. Your answers are correct.