SOLUTION: 7x+9y=26
x=32-6y
Solve for y and x
Algebra.Com
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) (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) (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
==>
==>
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..
and
Hope you found the explanation useful.
Regards.
Praseena.
Answer by jayanthihemkos@yahoo.com(87) (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
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