SOLUTION: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0. 4ax + 5y = 28 ax + 6y = 26 Select the correct choice below​ a

Algebra ->  Equations -> SOLUTION: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0. 4ax + 5y = 28 ax + 6y = 26 Select the correct choice below​ a      Log On


   

Question 1176311: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
4ax + 5y = 28
ax + 6y = 26
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.
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4ax + 5y = 28
ax + 6y = 26
-------------------
4ax + 5y = 28
4ax + 24y = 104
------------------------- Subtract
-19y = -76
y = 4
================
ax + 6y = 26
ax + 24 = 26
ax = 2
x = 2/a

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
a ≠ 0 
4ax + 5y = 28
ax + 6y = 26

4ax + 5y = 28
-4ax - 24y = 26(-4)    |Multiplying 2nd EQ by -4 to eliminate x
     y = (28-104)/-19 = 4   and x = 2/a     ax+%2B+24+=+26

A. solution set is ( 2/a, 4)  a ≠ 0 

B. {(x,y)|x = 2/a}   a ≠ 0 

Wish You the Best in your Studies.