Answer:
c
Step-by-step explanation:
Answer:
I believe it is the first picture because the equation goes with the line.
Step-by-step explanation: The yellow/orange line shows that it is negative (because of the -x slope). In the second picture the yellow/orange line shows a positive line that does not match the equation "y=-x+2"
Answer:
16a - 6b + 6
Step-by-step explanation:
5a + 5b - 5 + 11a - 11b + 11 = 5a + 11a + 5b - 11b - 5 + 11 = 16a - 6b + 6
Answer:
C) never
Step-by-step explanation:
It means the system of equations is true for all values of the variables that satisfy one of the equations. The other equation is identical, so any values that satisfy the first equation will also satisfy the second equation.
There will be an infinite number of solutions. There will never be no solution.
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<u>Example</u>:
x + y = 4
-x -y +4 = 0
Adding the two equations gives ...
(x +y) +(-x -y +4) = (4) + (0)
4 = 4
The solutions to this system are all values of x and y such that x+y=4. There are an infinite number of such solutions.
Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

So, we have the following system


If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?


I am going to write y as a function of x in 1), and replace in 2). So:
means that 






Now, going back to 1:

He should plant 100 acres of corn and 400 acres of wheat.