SOLUTION: Find A and B if the graph of the equation Ax + 3y = B produces the same same line as the graph of the equation 2x + 6y =7.

Algebra ->  Graphs -> SOLUTION: Find A and B if the graph of the equation Ax + 3y = B produces the same same line as the graph of the equation 2x + 6y =7.       Log On


   

Question 1174158: Find A and B if the graph of the equation Ax + 3y = B produces the same same line as the graph of the equation 2x + 6y =7.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Almost too obvious.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

The simplest way to solve the problem is to make at least one term identical in both equations.


For it, multiply first equation by 2, keeping second equation as is.  You will get


    2Ax + 6y = B

     2x + 6y = 14.


If we want these two equations produce the same graph, the necessary and sufficient condition is


    2A = 2  and  B = 14.


ANSWER.  A = 1;  B = 14.

Solved.