SOLUTION: Solve by the substitution method. 2x+9y=20 x=8-4y What is the solution of the system, if there is one? A. The solution is ____. B. There is no solution.

Algebra ->  Expressions-with-variables -> SOLUTION: Solve by the substitution method. 2x+9y=20 x=8-4y What is the solution of the system, if there is one? A. The solution is ____. B. There is no solution.      Log On


   

Question 452488: Solve by the substitution method.
2x+9y=20
x=8-4y
What is the solution of the system, if there is one?
A. The solution is ____.
B. There is no solution.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2x+%2B+9y+=+20+
+x+=+8+-+4y+
+2%2A%288+-+4y%29+%2B+9y+=+20+
+16+-+8y+%2B+9y+=+20+
+y+=+4+
and
+x+=+8+-+4y+
+x+=+8+-+4%2A4+
+x+=+-8+
check answers:
+2x+%2B+9y+=+20+
+2%2A%28-8%29+%2B+9%2A4+=+20+
+-16+%2B+36+=+20+
+20+=+20+
OK