How do you solve the following system: #5x-2y=-26, 6x + 7y = -9 #?

1 Answer
Apr 8, 2018

Answer:

#x = -200/47# and #y = 111/47#

Explanation:

#5x - 2y = -26 color(white)(..)……(1)#
#6x + 7y = -9 color(white)(..) ……(2)#

Multiply equation #(1)# by #7# and equation #(2)# by #2#

#35x - 14y = -182#
#12x + 14y = -18#

Add both the equations

#35x - 14y + 12x + 14y = -182 - 18#

#47x = -200#

#color(blue)(x = -200/47#

Substitute #x = -200/47# in equation #(1)#

#5(-200/47) - 2y = -26#

#-1000/47 - 2y = -26#

#2y = -1000/47 + 26#

#2y = -1000/47 + (26 × 47/47)#

#2y = -1000/47 + 1222/47#

#2y = (-1000 + 1222)/47#

#2y = 222/47#

#y = 222/(2 × 47)#

#color(blue)(y = 111/47)#