How do you solve the system of equations #5x - 2y = 36# and #3x - 5y = 33#?

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Answer 1 · 2017-11-15T01:46:19

#x approx -12.947#
#y approx -50.368 #

Solve first equation for y:

#y = (5x-36)/2#

Substitute that value of y into the second equation:

#3x - 5*(5x-36)/2 = 33#

Solve for x:

#x approx -12.947#

Plugin value of x found above into the equation in the first line to find y:

#y = (5*(-12.947)-36)/2 approx -50.368 #