Tuesday, July 30, 2013

8x+9y=-1 x=6-2ySolve the system by using the substitution method.

Given the equations:


8x+9y =
-1...........(1)


x = 6 - 2y
...............(2)


we need solve for x and
y.


We will use the substitution method to
solve.


We will substitute (2) into
(1).


==> 8x+9y =
-1


==> 8(6-2y) + 9y =
-1


==> 48 - 16y + 9y =
-1


==> -7y = -49


Now we
will divide by -7


==> y= -49/-7 =
7


==> y= 7


==> x
= 6-2y = 6-2(7) = 6 -14 = -8


Then the solution for the
system is:


x = -8  and  y=
7

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