SOLUTION: 7x+9y=26 x=32-6y Solve for y and x

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Question 110321: 7x+9y=26
x=32-6y
Solve for y and x

Found 3 solutions by malakumar_kos@yahoo.com, praseenakos@yahoo.com, jayanthihemkos@yahoo.com:
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
You can put this solution on YOUR website!
7x+9y=26
x=32-6y
Solve for y and x
we have to find the values of x&y so we will use ellimination method
7x+9y = 26......(1)
x+6y = 32.......(2) {got by transfering 6y to left hand side}
multiply (2) by 7 and subtract (1) & (3) hence (2) becomes 7x+42y= 224..(3)
subtracting 1& 3 we get -33y = -198 or y = -198/-33 = 6
substitute for y in (2) we get x = 32- 6(6) = 32-36 = -4
therefore the values of x& y are x = -4 and y = 6

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

7x+9y=26
x=32-6y
Solve for y and x

Answer:

7x + 9y = 26 ------------(1)
x = 32 - 6y --------------(2)

Plug the value x = 32 - 6y in the first equation.

==> 7 (32 - 6y) + 9y = 26


Here use the distributive property to remove the parenthesis..

==> 7 * 32 - 7 * 6y + 9y = 26

==> 224 - 42y + 9y = 26


==> 224 - 33y = 26

Add 33y on both sides......

==> 224 - 33y + 33y = 26 + 33y

==> 224 = 26 + 33y

Subtract 26 from both sides...


==> 224 - 26 = 26 + 33y - 26

==> 198 = 33y

Divide both sides by 33

==> +198%2F33+=+33y%2F33


==> +6+=+y+


So he value of y = 6
Now substitute this value in (2)


==>x = 32 - 6* 6

==> x = 32 - 36

==> x = -4

Sp the solution is..
+x+=+-4 and +y+=+6


Hope you found the explanation useful.


Regards.

Praseena.








Answer by jayanthihemkos@yahoo.com(87) About Me  (Show Source):
You can put this solution on YOUR website!
7x+9y=26----------(1)
x=32-6y-----------(2)
Solve for y and x
sustitute the value of x given in equation 2 to equation 1

7x+9y=26
7(32-6y)+9y = 26
224-42y+9y = 26
224-33y= 26
224-26-33y = 26-26
198-33y= 0
198-33y+33y = 0+33y
198 = 33y
33y/33y = 198/33
y = 6

x = 32-6y
= 32-6(6)
= 32-36
= -4
hence x = -4 and y = 6 is the solution for the system of equation