SOLUTION: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0. 7ax + 2y = 20 ax + 3y = -8 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. 7ax + 2y = 20 ax + 3y = -8 Select the correct choice below​ a      Log On


   



Question 1176314: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
7ax + 2y = 20
ax + 3y = -8
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!

7ax+%2B+2y+=+20+....eq.1
ax+%2B+3y+=+-8......eq.2
--------------------------
start with
7ax+%2B+2y+=+20+....solve for y
2y+=+20+-7ax
y+=+10+-7ax%2F2+.......a)
then do same with
ax+%2B+3y+=+-8
+3y+=+-8-ax++
y+=+-8%2F3-ax%2F3.............b)
from a) and b) we have
10+-7ax%2F2+=-8%2F3-ax%2F3 ........solve for x
10+%2B8%2F3+=7ax%2F2-ax+%2F3...........both sides multiply by 6
60+%2B16+=21ax-2ax+
76+=19ax+
76%2F19a=x
x=4%2Fa

go to
y+=+-8%2F3-ax%2F3......substitute x
y+=+-8%2F3-a%284%2Fa%29%2F3
y+=+-8%2F3-4%2F3
y+=+-12%2F3
y+=+-4
solution:(4%2Fa, +-4)