Online Order: BBB6136282737
Step 1) Solve the second equation for #x#:
#2x + 2y = 8#
#(2x + 2y)/color(red)(2) = 8/color(red)(2)#
#(2x)/color(red)(2) + (2y)/color(red)(2) = 4#
#x + y = 4#
#x + y - color(red)(y) = 4 - color(red)(y)#
#x + 0 = 4 - y#
#x = 4 - y#
Step 2) Substitute #(4 - y)# for #x# in the first equation and solve for #y#:
#-6x - 2y = 10# becomes:
#-6(4 - y) - 2y = 10#
#(-6 xx 4) + (-6 xx -y) - 2y = 10#
#-24 + 6y - 2y = 10#
#-24 + (6 - 2)y = 10#
#-24 + 4y = 10#
#-24 + color(red)(24) + 4y = 10 + color(red)(24)#
#0 + 4y = 34#
#4y = 34#
#(4y)/color(red)(4) = 34/color(red)(4)#
#y = 17/2#
Step 2) Substitute #17/2# for #y# in the solution to the second equation at the end of Step 1 and calculate #x#
#x = 4 - y# becomes:
#x = 4 - 17/2#
#x = (2/2 xx 4) - 17/2#
#x = 8/2 - 17/2#
#x = -9/2#
The Solution Is:
#x = -9/2# and #y = 17/2#
Or
#(-9/2, 17/2)#