SOLUTION: how Do I solve this system linear equations using graphing method? y=4x-6 3y=7-3x

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: how Do I solve this system linear equations using graphing method? y=4x-6 3y=7-3x      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 29876: how Do I solve this system linear equations using graphing method?
y=4x-6
3y=7-3x
Answer by Cintchr(475) About Me  (Show Source):
You can put this solution on YOUR website!
+y=4x-6+ solved already
+3y=7-3x+ re-write in y=mx+b format
+3y=-3x%2B7+ devide each part by 3
+y=-1x+%2B+7%2F3+
these two are now graphable
look back at the y=mx+b format.
m = slope
b = y-intercept
+y=4x-6+ starting at the origin ... go DOWN 6 and plot that point. from there go up 4 and to the right 1. plot that point.
+drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++line%28+0%2C+-6%2C+2%2C+2+%29%0D%0A%29%0D%0A
Draw this line out in both directions so that it goes out for a bit.
+y=-1x+%2B+7%2F3+ sstart at the origin ... go up 7/3 or 2 and 1/3 plot this point. from here go down one and to the right one.
+drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++line%28+0%2C+7%2F3%2C+2%2C+1%2F3+%29%0D%0A%29%0D%0A
Draw this line out so that it crosses the first. The point at which they cross is the solution.