SOLUTION: Solve by the method of you choice. Identify systems with no solution ad systems with infinitely many solutions, using set notation to express their solution sets. 6x + 2y = 7 y

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve by the method of you choice. Identify systems with no solution ad systems with infinitely many solutions, using set notation to express their solution sets. 6x + 2y = 7 y      Log On


   

Question 97059This question is from textbook
: Solve by the method of you choice. Identify systems with no solution ad systems with infinitely many solutions, using set notation to express their solution sets.
6x + 2y = 7
y = 2 - 3x
Please solve This question is from textbook

Answer by kiljoy(51) About Me  (Show Source):
You can put this solution on YOUR website!
We're going to rewrite the second equation y=2-3x as 3x%2By=2
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++6%5Cx+%2B+2%5Cy+=+7%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+2+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
6%2Ax+=+7+-+2%2Ay, or x+=+7%2F6+-+2%2Ay%2F6. Substitute that
into another equation:
3%2A%287%2F6+-+2%2Ay%2F6%29+%2B+1%5Cy+=+2 and simplify: So, we know that y=3/2=0. Since x+=+7%2F6+-+2%2Ay%2F6, x=0.166666666666667.

Answer: system%28+x=0.166666666666667%2C+y=3%2F2=0+%29.