How do you find the solution of the system of equations #5x + 4y = 6# and #-2x - 3y = -1#?

1 Answer
Jun 20, 2018

Answer:

Through elimination, we get:
#x=2#
#y=-1#

Explanation:

Manipulate the equations so that you can eliminate one of the variables. One possibility is to multiply the first equation by 2, and multiply the second equation by 5:

#+10x+8y=12#
#-10x-15y=-5#

Then add the two equations together to eliminate #x# and solve for #y#:
#0-7y=7#
#y=-1#

Now substitute the value of #y# into either of the original equations to find #x#:
#5x+4y=6#
#5x+4(-1)=6#
#5x = 6+4=10#
#x=2#