How do you solve the system of equation #8x - 2y = 13# and #4x + y = 11#?

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Answer 1 · 2017-11-02T01:30:43

#x = 35/16#

#y = 9/4#

#8x - 2y = 13# …………#[1]#

#4x + y = 11# ……………#[2]#

Multiple second equation on both sides by 2

#8x + 2y = 22# …………#[3]#

Add first and 3rd equations

#8x - 2y + 8x + 2y = 13 + 22#

#16x = 35#

x #= 35/16#

Substitute #x = 35/16# in 2nd equation

#4x + y = 11#

#(4 × 35/16) + y = 11#

#35/4 + y = 11#

#y = 11 - 35/4#

#y = (11 × 4/4) - 35/4#

#y = 44/4 - 35/4#

#y = (44 - 35)/4#

y #= 9/4#