Solve the literal equation for x. y=5x-rx-5
1 answer:
Answer:
Step-by-step explanation:
Given the literal equation, y = 5x - rx - 5,
In order to solve for x, start by adding 5 on both sides of the equation:
y + 5 = 5x - rx - 5 + 5
y + 5 = 5x - rx
Next, factor out x from the right-hand side of the equation:
y + 5 = x(5 - r)
Finally, divide both sides by (5 - r) to isolate x:
You might be interested in
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2
Final answer:
Recursive rule
a₁ = 2
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2
Final answer:
Recursive rule
a₁ = 2