How do you solve the system of equations #4x + 11y = 19# and #y = - 2x + 5#?

1 Answer
G_Ozdilek
Jun 21, 2017

By arrangement #x=2# and #y=1#

Explanation:

Expand the second equation with #-2#:

#11y= 19 - 4x#
#-2y=4x - 10# (after expanding)
Combine these two yielding:

#11 y - 2 y =19-10#
#9y = 9#
#y = 1#

You can use the first equation (put 1 (for y)):

#11 = 19 - 4x#
#-8 = -4x#
#x=2#

This is your answer: #x=2# and #y=1#

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