A signle system of linear equations has infinitely many solutions.
Two identical systems of linear equations have infinitely many solutions.
Two systems of linear equations has just one solution.
Two systems of <em>parallel</em> linear equations will has no solutions.
We have two systems of linear equations.
Let's see if they are parallel.
Parallel lines have the same slope.
We'll see if they do by converting to slope-intercept form.
(this will also let us know if they are identical)
1st Eqn.
3x - 9y = 0
Keep y on the left, x and the constant on the right...
-9y = -3x + 0
Divide by the y coefficient.
y = 1/3x + 0
2nd Eqn.
-x + 3y = -3
Keep y on the left, x and the constant on the right...
3y = x - 3
Divide by the y coefficient.
y = 1/3x - 3
As you can see, the two equations have the same slope! (1/3)
Because of this, they are parallel.
And they are not identical because the y-intercepts are different.
There are no solutions to this system of equations.
Answer:1
Explanation:since the absolute value of -3 is 3 and 4-3=1
Answer:
There are 210 ways
Step-by-step explanation:
The number of ways or combinations in which we can select x elements from a group of n elements where the order doesn't matter can be calculated as:
So, we have 10 teaching assistants and we need to choose 4 (one assistant per question) to grade each question. It means that n is equal to 10 and x is equal to 4.
Therefore, the number of ways that the assistants can be chosen to grade the exam are calculated as:
Answer:
It should be -8 please let me know if I am right
Step-by-step explanation:
(2*3+7)+(1-2*3^2)-4*3
(6+7)+(-3^2)-12
13+-9-12
=-8
9514 1404 393
Answer:
Step-by-step explanation:
Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.