SOLUTION: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0. 6ax + 7y = -10 ax + 4y = -13 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. 6ax + 7y = -10 ax + 4y = -13 Select the correct choice below​ a      Log On


   

Question 1176328: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
6ax + 7y = -10
ax + 4y = -13
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 MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

6ax+%2B+7y+=+-10
ax+%2B+4y+=+-13
---------------------
start with
6ax+%2B+7y+=+-10 .........solve for y
7y+=+-10+-6ax+
y+=+-10%2F7+-%286ax%29%2F7.......1)
go to
ax+%2B+4y+=+-13......solve for y

4y+=+-13-ax

y+=+-13%2F4-%28ax%29%2F4.......2)

from 1) and 2) we have
-10%2F7+-%286ax%29%2F7+=-13%2F4-%28ax%29%2F4
-10%2F7+%2B13%2F4+=6ax%2F7-ax%2F4...........multiply by 28
-40+%2B91+=24ax-7ax+
51+=17ax+
x=51%2F17a
x=3%2Fa

y+=+-10%2F7+-%286ax%29%2F7..........substitute x
y+=+-10%2F7+-%286a%283%2Fa%29%29%2F7
y+=+-10%2F7+-%286%283%29%29%2F7
y+=+-10%2F7+-18%2F7
y+=+-28%2F7
y+=+-4

solution set: (3%2Fa,+-4) where a%3C%3E0



Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.


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