SOLUTION: Please help me solve the following : Determine whether the system has one solution, no solution or infinitely many solutions y = 2/3x 2x - y = -4

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Question 59764This question is from textbook Alegbra concepts and applications
: Please help me solve the following :
Determine whether the system has one solution, no solution or infinitely many solutions
y = 2/3x
2x - y = -4 This question is from textbook Alegbra concepts and applications

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
1. +y+=+2x%2F3+
2. +2x+-+y+=+-4+
Substitute equation 1 into equation 2
+2x+-+2x%2F3+=+-4+
combine like terms
+4x%2F3+=+-4+
multiply both sides by 3/4
+x+=+-4%283%2F4%29+
+x+=+-3+

Substitute x = -3 back into equation one
+y+=+2x%2F3+
+y+=+2%28-3%29%2F3+
+y+=+-6%2F3+
+y+=+-2+

Your ONE soultion is
(-3, -2)