Question

A carpenter builds tables and chairs of various sizes and sells them to local businesses. She created the following chart for her own records: The graph will be in the image.
Her first order this month is from a restaurant that is installing new tables; they want 8 more large tables than small tables. She has $236 to spend on all of the materials for this order.

Using this information, write a system of equations that can be used to determine the number of small tables and the number of large tables the designer will make. Write your answer in the box below using the equation editor tool.

Answer 1

The system of equations that can be used to determine the number of small tables and the number of large tables the designer will make is:

y -x = 8

$12y - $6x = $236

Defining the variables

Let:

x = number of large tables the designer can make.

x = number of small tables the designer can make.

Simultaneous equations

Simultaneous equations are sets of equations that must be solved together in order to determine the required variables. Methods of solving simultaneous equations include:

• Elimination method
• substitution method
• Graph method

To learn more about simultaneous equations, please check: brainly.com/question/25875552