SOLUTION: 4x-3y=33 x=-4y-25

Question 81324This question is from textbook
: 4x-3y=33
x=-4y-25 This question is from textbook

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

4x-3y=33
x=-4y-25

ANSWER:

4x-3y=33------------------(1)

The second equation,x=-4y-25 can be written as,

x=-4y-25

==> x + 4y = -25 ----------------(2)

Multiply equation(2) with 4 so that coefficient of becoma same in both the equations(You can make coeffeicient of y same and can follow the following procedure.)

==> 4(x + 4y ) = 4* -25

==> 4x + 16y = -100 ----------------------(3)

Now we have,

4x - 3y = 33------------------(1)

4x + 16y = -100 ----------------------(3)

Subtract (3) from (1)

==> 4x - 3y - ( 4x + 16y ) = 33 - (-100)

==> 4x - 3y - 4x - 16y = 33 + 100

==> -19y = 133

Divide both sides by -19

==> -19y/-19 = 133/-19

==> y = -7

Now substitute this value in any of the given equations.....

Lets take (1)

==> 4x - 3 (-7) =33

==> 4x + 21 = 33

Subtract 21 from both sides....

4x + 21 -21 = 33 - 21

==> 4x = 12

Divide both sides by 4

==> 4x/4 = 12/4

==> x = 3

so the solution is,

x = 3 and y = -7

Hope you found this method useful.

Regards.

Praseena.

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