Answer:
x = 6 / 7
Step-by-step explanation:
Let's solve your equation step-by-step.
14 x − 8 = 4
Step 1: Add 8 to both sides.
14x − 8 + 8 = 4 + 8
14x = 12
Step 2: Divide both sides by 14.
14 x / 14 = 12 / 14
x = 6 / 7
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Answer:
○ 4⁵\4²
Step-by-step explanation:
1. According to the Quotient-to-Power Exponential Rule, whenever you divide terms with exponents and coefficients, you subtract the exponents:
4²\4⁵ = 4⁻³
3. According to the Negative Exponential Rule [Reverse], you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:
b⁻ⁿ = 1\bⁿ
However, according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:
bⁿ = 1\b⁻ⁿ
Anyway, this is what you get using this exponential:
1\4³ = 4⁻³
4. Back to what I said about the <em>Quotient-to-Power</em> Exponential Rule, you subtract the exponents, but in this case, doing that will give you 4³. This is the ONLY uniqueness, while the rest of them are 4⁻³.
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The two equations are vertical angles, which mean they are equal.
Set each equation to equal each other and solve for x.
3x-3 = 6(x-10)
Simplify the right side:
3x-3 = 6x-60
Subtract 3x from each side:
-3 = 3x - 60
Add 60 to each side:
57 = 3x
Divide both sides by 3:
x = 57 / 3
x = 19