How do you solve this system of equations: #-2x + 7y = 13 and 4x - 6y = 2#?

1 Answer
Austte
Nov 19, 2017

#x=5.75#
#y=3.5#

Explanation:

#−2x+7y=13#
and
#4x−6y=2#
I am going to solve it by using addition method.

1) #−2x+7y=13 |×2#
and
#4x−6y=2#

2) #-4x+14y=26#
and
#4x-6y=2#

3) now I am going to sum these equations
#-4x+14y=26#
#4x-6y=2#
#8y=28#

4) #8y=\frac {28}{8}#
#y=3.5#

5) #4x−6y=2#
#4x−6×3.5=2#
#4x=2+21#
#4x=\frac{23}{4}#
#x=5.75#

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