Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer:
12x^8y^8
Step-by-step explanation:
taking numbers in one side and multiplying and taking the variables in other sides and adding the power
Answer:
9
Step-by-step explanation:
5,7,8,10,12,12
5+7+8+10+12+12=54
54/(how many numbers there are, which is 6)=9.
Your mean value is 9.
Answer:
Angle #4
Step-by-step explanation:
4 & 5 are equal, and opposite.
1 & 2 are also congruent by this standard.
