SOLUTION: Together a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Find the cost of the table.

Question 804678: Together a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Find the cost of the table.
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!
chairs =x table=y lamp=z
x+y+z=562
x=4z
y=x-23
first plug x into x+y+z=562
4z+y+z=562
y+5z=562
y=-5z+562
now plug x into y=x-23
y=4z-23
plug this into y=-5z+562
-5z+562=4z-23
-9z=-585
z=65
now plug z into y=4z-23
y=4(65)-23
y=237
The table is $237
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