Question 944515
A linear equation 3x +4y =7 has a unique solution. state true or false. Justify your answer.
<pre>
False.

3(1) + 4(1) = 7
      3 + 4 = 7
          7 = 7
So (x,y) = (1,1) is one solution.


3(-7) + 4(7) = 7
    -21 + 28 = 7
           7 = 7
So (x,y) = (-7,7) is another solution.


3(-3) + 4(4) = 7
     -9 + 16 = 7
           7 = 7
So (x,y) = (-3,4) is another solution.


3(5) + 4(-2) = 7
      15 - 8 = 7
           7 = 7
So (x,y) = (5,-2) is another solution.


{{{3(2/3) + 4(5/4) = 7}}}
       2 + 5 = 7
           7 = 7
So (x,y) = {{{(matrix(1,3,  2/3,",",5/4))}}} is another solution.



There are an infinite number of solutions.

Edwin</pre>