Here are lots of ordered pairs (x,y) that are solutions
of the equation -8x+5y=96 and why they are solutions.
You should find it in this list:
(x,y) = (-72,-96) because -8(-72)+5(-96) = 576+(-480) = 96
(x,y) = (-67,-88) because -8(-67)+5(-88) = 536+(-440) = 96
(x,y) = (-62,-80) because -8(-62)+5(-80) = 496+(-400) = 96
(x,y) = (-57,-72) because -8(-57)+5(-72) = 456+(-360) = 96
(x,y) = (-52,-64) because -8(-52)+5(-64) = 416+(-320) = 96
(x,y) = (-47,-56) because -8(-47)+5(-56) = 376+(-280) = 96
(x,y) = (-42,-48) because -8(-42)+5(-48) = 336+(-240) = 96
(x,y) = (-37,-40) because -8(-37)+5(-40) = 296+(-200) = 96
(x,y) = (-32,-32) because -8(-32)+5(-32) = 256+(-160) = 96
(x,y) = (-27,-24) because -8(-27)+5(-24) = 216+(-120) = 96
(x,y) = (-22,-16) because -8(-22)+5(-16) = 176+(-80) = 96
(x,y) = (-17,-8) because -8(-17)+5(-8) = 136+(-40) = 96
(x,y) = (-12,0) because -8(-12)+5(0) = 96+0 = 96
(x,y) = (-7,8) because -8(-7)+5(8) = 56+40 = 96
(x,y) = (-2,16) because -8(-2)+5(16) = 16+80 = 96
(x,y) = (3,24) because -8(3)+5(24) = -24+120 = 96
(x,y) = (8,32) because -8(8)+5(32) = -64+160 = 96
(x,y) = (13,40) because -8(13)+5(40) = -104+200 = 96
(x,y) = (18,48) because -8(18)+5(48) = -144+240 = 96
(x,y) = (23,56) because -8(23)+5(56) = -184+280 = 96
(x,y) = (28,64) because -8(28)+5(64) = -224+320 = 96
(x,y) = (33,72) because -8(33)+5(72) = -264+360 = 96
(x,y) = (38,80) because -8(38)+5(80) = -304+400 = 96
(x,y) = (43,88) because -8(43)+5(88) = -344+440 = 96
(x,y) = (48,96) because -8(48)+5(96) = -384+480 = 96
Edwin