A cabinet, 4 chairs, and 2 tables cost $825. The cabinet costs 3 times as much as a chair. The table costs $120 more than a chair. What is the cost of the cabinet? Please answer with work so I know how to do It next time.

let

x = the cost of the cabinet

y = the cost of a chair

z = the cost of a table

A cabinet, 4 chairs and 2 tables cost $825

x + 4y + 2z = 825

The cabinet costs 3 times as much as a chair

x = 3y

The table costs $120 more than a chair

z = 120 + y

by solving the system of equations

x + 4y + 2z = 825

x = 3y

z = 120 + y

we find

x = $195

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

b

step-by-step explanation: