SOLUTION: Solve by Substitution or Elimination: 2j-3k=3 with the problem just underneith the one above. j+k =14 Can you please explain how to get it? Thank you. -Leona

Algebra ->  Graphs -> SOLUTION: Solve by Substitution or Elimination: 2j-3k=3 with the problem just underneith the one above. j+k =14 Can you please explain how to get it? Thank you. -Leona      Log On


   

Question 212752: Solve by Substitution or Elimination: 2j-3k=3 with the problem just underneith the one above. j+k =14
Can you please explain how to get it? Thank you. -Leona
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by Substitution or Elimination: 2j-3k=3 with the problem just underneith the one above. j+k =14

Step 1. We form a System of Equations

2j-3k=3

j%2Bk=14

Step 2. The following steps solve the system of equations by substitution:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cj+%2B+-3%5Ck+=+3%2C%0D%0A++++1%5Cj+%2B+1%5Ck+=+14+%29%0D%0A++We'll use substitution. After moving -3*k to the right, we get:
2%2Aj+=+3+-+-3%2Ak, or j+=+3%2F2+-+-3%2Ak%2F2. Substitute that
into another equation:
1%2A%283%2F2+-+-3%2Ak%2F2%29+%2B+1%5Ck+=+14 and simplify: So, we know that k=5. Since j+=+3%2F2+-+-3%2Ak%2F2, j=9.

Answer: system%28+j=9%2C+k=5+%29.



I hope the above steps are helpful, Leona.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.

Respectfully,
Dr J