How do solve the following linear system?: # 5x-4y=23, 3x + 4y = -1 #?

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Answer 1 · 2016-01-13T12:58:22

The solution for system of equations is
#color(blue)(x=11/4, y=-37/16#

#5x-color(blue)(4y)=23# ......equation #(1)#

#3x + color(blue)(4y)=-1# ......equation #(2)#

Solving by elimination.

Adding equation #1# and #2#

#5x-cancelcolor(blue)(4y)=23#

#3x +cancel color(blue)(4y)=-1#

#8x=22#

#x=22/8#

#color(blue)(x=11/4#

Finding #y# from equation #1#

#5x-4y=23#

#5x-23=4y#

#5 xx 11/4 -23=4y#

#55/4 -23=4y#

#55/4 -92/4=4y#

#-37/4=4y#

#-37/(4xx4)=y#

#color(blue)(y=-37/16#