To do linear equations, basically, just imagine it with an equals sign. It is pretty much the same as normal algebra, so it's not too confusing.
An example of a linear equation is 3x - 7 = 11
with this, your objective is to get 'x' on its own and to do this, do inverse operations (the opposite to what is actually done)
For instance, to get '3x' on its own, you must add 7.
So do this for both sides to give you
3x = 18
Yeah?
Now you must get 'x' on its own. It currently has 3 x's at the moment, so you must divide it by 3 to give you one 'x'. A rule with these - what you do to one side you must do to the other.
So this means that if you divide 3x by 3, you must divide 18 by 3.
This leaves you with x = 6.
Answer:
73.5 ....................
Answer:
work is shown and pictured
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.