Can you help me with this word problem?

Question

Together two printers can print 7500 lines if the first printer prints for 2 minutes and the second printer prints for 1 minute. If the first print prints for t minute and the second printer prints for 2 minutes, they ean print 9000 lines together. Find the number of lines per it cach printer can print minute that

Answer 1

1st printer prints X lines per minute.

2nd printer prints Y lines per minute.

 

2X + Y = 7500 ---> Y = 7500 - 2x

 

tX + 2Y = 9000

 

tX + 2(7500 - 2x) = 9000

 

tx + 15000 - 4x = 9000

 

(t-4)x + 15000 = 9000

 

(t-4)x = -6000

 

x = -6000 / (t-4)

 

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If t=2 like I suspect you meant, then

the first printer prints 3000 lines per minute

which means the second printer prints

1500 lines per minute.