Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.
Answer:
(-1,-6)
Step-by-step explanation:
Plug 6x for y into the bottom equation:
2x+3(6x)= -20
2x+18x= -20
20= -20
x= -1
Substitute -1 for x in the equation for y:
y=6(-1)
y=-6
I hope I could help :)
The product could be either less than or greater than 67,124.
If you multiplied by a negative number, you would get a negative number, which is less than a positive number such as 67,124.
If you multiplied by zero, you would get zero, which is less than a positive number such as 67,124.
If you multiplied by one, you would get 67,124, which is equal to 67,124 since they are the same number.
If you multiplied by a positive number less than one, you would get a positive number greater than zero and less than 67,124.
If you multiplied by a positive number greater than one, you would get a positive number greater than 67,124.
Answer:
Step-by-step explanation:
To add the two fractions, you need a common denominator. In this case, the lowest common denominator (LCD) is 9y. That's because 9y is divisible by both 3y and 9y.
The first fraction must be changed so that its denominator is 9y. Do this by multiplying both numerator and denominator by 3.
Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.
R + 3 = 2
First, subtract 3 from both sides. / Your problem should look like: r = 2 - 3
Second, simplify 2 - 3 to -1. / Your problem should look like: r = -1
Answer: r = -1
