SOLUTION: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0. 6ax + 7y = 23 ax + 3y = 2 Select the correct choice belowâ€

Algebra ->  Equations -> SOLUTION: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0. 6ax + 7y = 23 ax + 3y = 2 Select the correct choice below†     Log On


   

Question 1176414: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
6ax + 7y = 23
ax + 3y = 2

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The solution set is {__}. (Simplify your answer. Type an ordered​ pair.)

B. There are infinitely many solutions. The solution set is {(x,y) |__}.

​(Simplify your answer. Type an​ equation.)

C. There is no solution. The solution set is Ø.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

6ax+%2B+7y+=+23
ax+%2B+3y+=2
---------------------

start with
6ax+%2B+7y+=+23 .........solve for y
7y+=+23+-6ax+
y+=+23%2F7+-%286ax%29%2F7.......1)
go to
ax+%2B+3y+=+2......solve for y

3y+=+2-ax

y+=+2%2F3-%28ax%29%2F3.......2)

from 1) and 2) we have
+23%2F7+-%286ax%29%2F7+=2%2F3-%28ax%29%2F3
23%2F7+-2%2F3=+6ax%2F7-ax%2F3...........multiply by 21
69-14+=18ax-7ax+
55+=11ax+
x=55%2F11a
x=5%2Fa

y+=+2%2F3-%28ax%29%2F3..........substitute x
y+=+2%2F3-%28a%285%2Fa%29%29%2F3
y+=+2%2F3-5%2F3
y+=+-3%2F3
y+=+-1



solution set: (5%2Fa,+-1) where a%3C%3E0