How do you solve 3x + 5y = 44 and 8x - 7y = -25?

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Answer 1 · 2016-05-17T07:16:40

#y =7#

#x=3#

Use simultaneous equations.

#3x+5y=44#
#8x-7y=-25#

Times the top equation by 8 and the bottom equation by 3 to make the x terms equal.

#24x+40y=352#
#24x-21y=-75#

Take the two equations away from each other. This will cancel out the x terms.

#61y=427#

Therefore #y=427/61# #=7#

To find x, substitute this y value into one of the equations. So,

#3x+(5xx7)=44 #
#3x+35=44#
#3x=9#
#x=3#