<span>Simplifying
13 = 2f + 5
Reorder the terms:
13 = 5 + 2f
Solving
13 = 5 + 2f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-2f' to each side of the equation.
13 + -2f = 5 + 2f + -2f
Combine like terms: 2f + -2f = 0
13 + -2f = 5 + 0
13 + -2f = 5
Add '-13' to each side of the equation.
13 + -13 + -2f = 5 + -13
Combine like terms: 13 + -13 = 0
0 + -2f = 5 + -13
-2f = 5 + -13
Combine like terms: 5 + -13 = -8
-2f = -8
Divide each side by '-2'.
f = 4
Simplifying
f = 4
SO, f = 4
13 = 2 </span>× 4 + 5<span>
Hope I helped:P</span>
Answer:
y = -1.42
Step-by-step explanation:
(7.1/5.1) × -1.02 = -1.42
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