SOLUTION: can you help me solve and check this problem using substitution method: (((x=1/5y 3x+2y=26)))

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Question 153513This question is from textbook Algebra structure and method book 1
: can you help me solve and check this problem using substitution method: (((x=1/5y 3x+2y=26))) This question is from textbook Algebra structure and method book 1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x=%281%2F5%29y
2.3x%2B2y=26
Substitute eq. 1 into eq. 2,
2.3x%2B2y=26
3%281%2F5%29y%2B2y=26
%283%2F5%29y%2B2y=26
%283%2F5%29y%2B%2810%2F5%29y=26
%2813%2F5%29y=26
y=26%2A%285%2F13%29
highlight%28y=10%29
From 1,
1.x=%281%2F5%29y
x=%281%2F5%2910
highlight%28x=2%29
Check the answer using eq. 2,
2.3x%2B2y=26
3%282%29%2B2%2810%29=26
6%2B20=26
26=26
True, good answer.