Is the point (2,1) a solution to the following system? 3x-2y=6. x+y=2
2 answers:
Answer:
No
Step-by-step explanation:
Hi,
I believe this is the explanation to the answer.
First of all, we must understand what is meant by a "solution" to a "system." A solution to a system means whatever solutions you get for x and y should be able to satisfy both of the equations in the system.
In here, we have the point (2,1). To test whether it satisfies the two equations in the system, simply plug in the values!
3(2) - 2(1) = 6 - 2 = 4
As you can see, 4 6. Let's look at the other equation.
(2) + (1) = 3
Again, as you can see, 3 2.
Hence, this point (2,1) does not satisfy the two equations, so it's definitely not a solution.
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Answer:
Step-by-step explanation:
It is given that,
Amy wants to sell at most 25 cookies ,
Let number of cookies be '' , then
should be less than or equal to 25
Which is represented by ,
Further,
Let number of sprites be '', then '
' should be greater than or equal to 10
Which is represented by
Also,
Given,
she profits $.50 on every cookie
and $1.00 on every sprite.
So total profit on selling cookies would be
= Profit on each cookie times the number of cookies
=
=
Similarly, total profit on selling sprites would be
=profit on each sprite times the number of sprites
=
=
Now, combining these two should be greater than or equal to $30
representing this through an equation,
Thus the sysytem of equations is given as: