Answer:
The solutions are −5 and 1 .
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:
<h3>$27.34</h3>
Step-by-step explanation:
32 x 0.20 = $6.40
32 - 6.4 = $25.60
25.6 x .0675 ≈ 1.738
25.6 + 1.738 = 27.338 ≈$27.34
<span>the distance between points (12, 4) and (12, –10) on the coordinate plane is 14 units.
</span>
Answer:
D) (2,5)
Step-by-step explanation:
The intersection of the 2 lines.
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