Victor spend a total of 33 picture and text messages which cost 8.30.if text message rate is .18 per message and the picture message rate is .45 per picture how many of each type of message did he send
t=number of text messsages p=number of picture messages
total number is 33 t+p=33
if text is 0.18 per pic and picture is 0.45 per text total cost is 8.3 0.18t+0.45p=8.3 times 100 both sides for ease 18t+45p=830
we now have 2 equations t+p=33 18t+45p=830
multiply first equation by -18 and add to second equation
18t+45p=830 -18t-18p=-594 + 0t+27p=236
27p=236 divide both sides by 27 p=8.740740740740744 this is impossible becasue you can't send 0.740740740740744 of a message so you did a mistype somewhere