Explain how to solve this, step by step?

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. calculate the cost of the chair, the table, and the lamp.

The cost of  chair is

The cost of  a lamp is

The cost of  a table is

Step-by-step explanation:

Let

x----> the cost of  chair

y----> the cost of  lamp

z----> the cost of table

we know that

----> equation A

-----> -----> equation B

------> equation C

substitute equation C and equation B in equation A and solve for x

Find the value of y

Find the value of z

therefore

The cost of  chair is

The cost of  a lamp is

The cost of  a table is