Three computer desks and four office chairs cost $1090. Six desks and two chairs cost $1490. Find the cost of a computer desk.

Question

Three computer desks and four office chairs cost $1090. Six desks and two chairs cost $1490.

Find the cost of a computer desk.

Answer 1

3X + 4Y = 1090

6x + 2Y = 1490

 

Multiplying the first equation by -2:

-6X + -8Y = -2180
 6x +  2Y  =  1490

 

Adding them together:

 

-6Y = -690

  Y = 115

 

Substituting into second equation:

6X + 2(115) = 1490

6X + 230 = 1490

6X = 1490 - 230

6X = 1260

X = 210

 

desk costs $210; chair costs $115