Question 1054328
set up a table as follows:


<pre>


                  x                  y         
                 CRT                LCD            total 
                
material         60                 120             = 9720
labor            90                 130             = 11580


</pre>


x is equal to the number of CRT.
y is equal to the number of LCD


total material is equal to 9720.
total labor is equal to 11580.


you have two equations that need to be solved simultaneously.


they are:


60x + 120y = 9720
90x + 130y = 11580


we'll solve by elimination.


multiply both sides of the first equation by 1.5 and leave the second equation as is to get:


90x + 180y = 14580
90x + 130y = 11580


subtract the second equation from the first equation to get:


50y = 3000


solve for y to get y = 60


replace y in the first original equation with 60 and solve for x to get:
60x + 120y = 9720 becomes 60x + 7200 = 9720.
solve for x to get x = 42.


your solution is x = 42 and y = 60


this means that you will manufacture 42 CRT and 60 LCD.


your original equations of:


60x + 120y = 9720
90x + 130y = 11580


become:


60 * 42 + 120 * 60 = 9720
90 * 42 + 130 * 60 = 11580


simplify to get:


9720 = 9720
11580 = 11580


x represents the number of CRT which is equal to 42.
y represents the number of LCD which is equal to 60.


solution looks good.