How do you find the ordered pair solution to the following system of equations (Use any method): 3x – 2y = –1 and 2x + y =5?

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Answer 1 · 2017-07-26T10:02:07

Multiply e second equation with 2, then combine equations to get x first. You can find #x=9/7# and #y=17/7#

#3x - 2y = -1#
#4x + 2y = 10# (when you multiply the second equation with 2)

Combine these equations now, yielding
#7x = 9#
Therefore you can easily get
#x=9/7#

Now put this value in the first original equation to find y

#3times(9/7) - 2y = -1#

#27/7- 2y = -1#

#27/7 + 1 = 2y#

#34/7 = 2y#

#y=17/7#

or #y=2times(3/7)#