SOLUTION: solve the system using the substitution method. 2x+y=6 3x+5y=9

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Question 218668: solve the system using the substitution method.
2x+y=6
3x+5y=9
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
solve the system using the substitution method.
2x+y=6
3x+5y=9

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+1%5Cy+=+6%2C%0D%0A++++3%5Cx+%2B+5%5Cy+=+9+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
2%2Ax+=+6+-+1%2Ay, or x+=+6%2F2+-+1%2Ay%2F2. Substitute that
into another equation:
3%2A%286%2F2+-+1%2Ay%2F2%29+%2B+5%5Cy+=+9 and simplify: So, we know that y=0. Since x+=+6%2F2+-+1%2Ay%2F2, x=3.

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



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
solve the system using the substitution method.
2x+y=6
3x+5y=9

As it's easiest to solve for y in eq (i), we do just that to get: y = - 2x + 6

We now substitute this value, - 2x + 6 for y in eq (ii) to get: 3x + 5(- 2x + 6) = 9

3x - 10x + 30 = 9

- 7x = - 21

x+=+%28-21%29%2F-7 = highlight_green%283%29

Substitute 3 for x in eq (i), 3x + 5y = 9 to get: 3(3) + 5y = 9

9 + 5y = 9

5y = 0

y+=+0%2F5 = highlight_green%280%29