Step 1) Solve the first equation for #y#:
#2x + y = 8#
#2x - color(red)(2x) + y = 8 - color(red)(2x)#
#0 + y = 8 - 2x#
#y = 8 - 2x#
Step 2) Substitute #(8 - 2x)# for #y# in the second equation and solve for #x#:
#3x - y = 7# becomes:
#3x - (8 - 2x) = 7#
#3x - 8 + 2x = 7#
#3x - 8 + color(red)(8) + 2x = 7 + color(red)(8)#
#3x - 0 + 2x = 15#
#3x + 2x = 15#
#(3 + 2)x = 15#
#5x = 15#
#(5x)/color(red)(5) = 15/color(red)(5)#
#x = 3#
Step 3) Substitute #3# for #x# in the solution to the first equation at the end of Step 1 and calculate #y#:
#y = 8 - 2x# becomes:
#y = 8 - (2 xx 3)#
#y = 8 - 6#
#y = 2#
**The Solution Is:
#x = 3# and #y = 2#
Or
#(3, 2)#
