SOLUTION: Solve the system of equations by graphing. Then classify the system. 3x+ y=15 4x+5y=-13

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Question 221279: Solve the system of equations by graphing. Then classify the system.
3x+ y=15
4x+5y=-13
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations by graphing. Then classify the system.

3x+ y=15
4x+5y=-13

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++3%5Cx+%2B+1%5Cy+=+15%2C%0D%0A++++4%5Cx+%2B+5%5Cy+=+-13+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
3%2Ax+=+15+-+1%2Ay, or x+=+15%2F3+-+1%2Ay%2F3. Substitute that
into another equation:
4%2A%2815%2F3+-+1%2Ay%2F3%29+%2B+5%5Cy+=+-13 and simplify: So, we know that y=-9. Since x+=+15%2F3+-+1%2Ay%2F3, x=8.

Answer: system%28+x=8%2C+y=-9+%29.



The linear system of equations is independent and has a unique solution intersecting at a point (8,-9).

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J