Answer: -2.88889
Step-by-step explanation:
calculate the approimate value
Answer:
y = 3x + 4
Step-by-step explanation:
slope = (y2 -y1)/(x2 - x1)
y2 = 19
y1 = 7
x2 = 5
x1 = 1
Slope = (19 - 7)/(5 - 1)
slope = 12 / 4
slope = 3
So far what you have is
y = 3x + b To solve for b, use either of the two points.
x = 1
y = 7
7 = 3(1) + b
7 = 3 + b
b = 4
The final equation is
y = 3x + 4
We should check that with the other point
x = 5 Find y
y = 3(5) + 4
y = 15 + 4
y = 19 Ans it checks.
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
