Answer:
one solution
Step-by-step explanation:
* Lets start to solve the question
- The 1st equation x - y = -4
- The 2nd equation 3x + y = 8
- We will use the elimination method to solve this system of equation
∵ x - y = -4 ⇒ (1)
∵ 3x + y = 8 ⇒ (2)
- Add the two equation (1) and (2) to eliminate y
∴ x + 3x = -4 + 8
∴ 4x = 4
- Divide both sides by 4
∴ x = 1
- Substitute the value of x in equation (1) or equation (2) to find
the value of y
- We will use equation (1)
∴ 1 - y = -4
Subtract 1 from both sides
∴ -y = -5
- Divide both sides by -1
∴ y = 5
∴ The solution is (1 , 5)
* The system has one solution
Answer:
Independent
Step-by-step explanation:
It doesn't matter what Mitch rolls, it won't affect what Austin rolls.
Answer:
192 cubes
Step-by-step explanation:
So all we need to do is:
1) Find the area of 1 cube.
2) Divide the large prism volume with this.
SO 1)
the volume of cube = Length * width * height = (1/4)^3 = 1/64
SO 2)
the volume of prism / the volume of cube = 3/(1/64) = 192
Answer: 192 cubes
7 is a solution
4 is extraneous
The work is attached below