System of Equations Word Problem

Question

Arsene saves $55 per week and already saved $270. Jose has $990 and spends $35 per week. How many DAYS until Arsene and Jose have the same amount of money? And, does this problem require you to use the substitution method or the elimination method?

Answer 1

Another way is the following:

Since this is a system of equations, you can put it in those steps:

y= 55x+270

y= 35x+ 990

55x+270= 35x+990

55x+270 - 35x-990 = 0

20x+ 270-990 = 0

20x-720= 0

20x= 720

x= 36

Answer 2

270 + 55w = 990 - 35w

Can you solve for w and answer? Remember w is weeks. Problem asks for days.