SOLUTION: 6x+2y=7 y=2-3x solve by substitution or another method

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Question 70766This question is from textbook Introductory and intermediate algebra
: 6x+2y=7
y=2-3x
solve by substitution or another methodThis question is from textbook Introductory and intermediate algebra

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Plug this equation y=2-3x in for y in this equation 6x+2y=7
6x%2B2%2Ahighlight%28%282-3x%29%29=7Distribute the 2
cross%286x%29%2B4%2Bcross%28-6x%29=7The x terms cancel to give you
4=7Which is not only false, but doesnt make any sense whatsoever. This means that there is no solution for x (if you graph the equations you'll notice they are parallel, so there isn't an intersection).
Note: you have to solve the 1st equation for y.
graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2-3x%2C+3.5-3x+%29