SOLUTION: solve the system using the substution method 5x-4y=-5 7x+y=21 solution (?/33,140/?)

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Question 212892: solve the system using the substution method
5x-4y=-5
7x+y=21
solution (?/33,140/?)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system using the substitution method

5x-4y=-5
7x%2By=21

Solution (?/33,140/?) ANSWER (79/33, 140/33)

The following steps solves the set of equations by substitution.

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++5%5Cx+%2B+-4%5Cy+=+-5%2C%0D%0A++++7%5Cx+%2B+1%5Cy+=+21+%29%0D%0A++We'll use substitution. After moving -4*y to the right, we get:
5%2Ax+=+-5+-+-4%2Ay, or x+=+-5%2F5+-+-4%2Ay%2F5. Substitute that
into another equation:
7%2A%28-5%2F5+-+-4%2Ay%2F5%29+%2B+1%5Cy+=+21 and simplify: So, we know that y=4.24242424242424. Since x+=+-5%2F5+-+-4%2Ay%2F5, x=2.39393939393939.

Answer: system%28+x=2.39393939393939%2C+y=4.24242424242424+%29.



Based on the above steps we have the following: x=2.3939... = 79/33 and y=4.2424...=140/33

where x = ?/33 = 2.3939... and y = 140/? = 4.2424...

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J