SOLUTION: Solve the system by the substitution method. 4x+y=16 16x+4y=64

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Question 34635This question is from textbook Prealgebra & Introductory Algebra
: Solve the system by the substitution method.
4x+y=16
16x+4y=64 This question is from textbook Prealgebra & Introductory Algebra

Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++4%5Cx+%2B+1%5Cy+=+16%2C%0D%0A++++16%5Cx+%2B+4%5Cy+=+64+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
4%2Ax+=+16+-+1%2Ay, or x+=+16%2F4+-+1%2Ay%2F4. Substitute that
into another equation:
16%2A%2816%2F4+-+1%2Ay%2F4%29+%2B+4%5Cy+=+64 and simplify: So, we know that y=0=0. Since x+=+16%2F4+-+1%2Ay%2F4, x=4.

Answer: system%28+x=4%2C+y=0=0+%29.


Hope this helps.