SOLUTION: if the equations 2x + ky = 6 and px+ 3y = 3 are dependent, the find the values of k and p

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Question 1144467: if the equations 2x + ky = 6 and px+ 3y = 3 are dependent, the find the values of k and p
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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If two equations are DEPENDED,  then the ratio of coefficients at each pair of co-named variables are equal to the ratio of the right sides.


THEREFORE, you have these two proportions


    2%2Fp = k%2F3 = 6%2F3 = 2.


From the proportions, you get


    p = 2%2F2 = 1;   k = 3*2 = 6.    ANSWER

Answered,  explained,  solved and completed.

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See the lesson
    - Geometric interpretation of the linear system of two equations in two unknowns
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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