SOLUTION: Solve the following system of equations. -5x-7y=14 -8x-9y=18 x= y=

Question 1203932: Solve the following system of equations.
-5x-7y=14
-8x-9y=18
x=
y=
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Try elimination method.

and change as
and now ADD corresponding parts.....
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
equations are:

-5x-7y=14
-8x-9y=18

multiply both sides of the first equation by 8 and both sides of the second equation by 5 to get:

-40x - 56y = 112
-40x - 45y = 90

subtract the second equation from the first to get:
-11y = 22
solve for x to get:
y = -2

replace y with -2 in the first equation to get:
-40x -56y = 112 becomes -40x + 112 = 112
solve for x to get:
x = 0

you have x = 0 and y = -2
replace x and y in both original equations with those values to get:

-5x-7y=14 becomes -5*0 - 7*-2 = 14 which becomes 14 = 14 which is true.
-8x-9y=18 becomes -8*0 - 9*-2 = 18 which becomes 18 = 18 which is true.
the values look good.
your solution is x = 0 and y = -2

if you graph both equations, they will intersect at the point (0,-2) as shown below:

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