The total cost of 3 chairs and 2 tables s rs. 4500. The Total cost of 2 chairs and 3 tables is rs. 5500. find the total cost of a chair and a table.
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let chair be x
table be y
the equations become
3x+2y=4500
2x+3y=5500
3×(3x+2y=4500)
2×(2x+3y=5500)
9x+6y=13500
4x+6y=11000
=> 5x=2500
=> x=500
y=1500
hence the total cost of a chair and table is 1500+500=2000
table be y
the equations become
3x+2y=4500
2x+3y=5500
3×(3x+2y=4500)
2×(2x+3y=5500)
9x+6y=13500
4x+6y=11000
=> 5x=2500
=> x=500
y=1500
hence the total cost of a chair and table is 1500+500=2000
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