Hi there!
Looks like a lot of work is going on here.
Let's start by solving this equation for the x.

Step 1) Add -20y to both sides.

Step 2) Divide both sides by 5.


Final Answer:

Now, let's solve for y.
Step 1) Add -5x to both sides.

Step 2) Divide both sides by 20.


Final Answer:

Hope this helps! :D
Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)
Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
Answer: The answer is 600 cm.
Step-by-step explanation:
Answer:
<em>y = (-4/3)*x + 7</em>
<em />
Step-by-step explanation:
The point-slope form of the equation of a line is: <em>y = a*x + b </em>
In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]
The given line has a slope of -4/3, so that <em>a = -4/3 </em>
=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>
<em />
As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:
<em>y = (-4/3)*x + b</em>
<em>=> -5 = (-4/3)*9 + b </em>
<em>=> -5 = -12 + b </em>
<em>=> b = 7</em>
<em />
So that the equation in point-slope form of the given line is:
<em>y = (-4/3)*x + 7</em>
<em />
The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>
The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
; fractional exponent
<h3>Calculation:</h3>
The given expression is 
Using calculator:
= 0.0265
Applying the exponent rule for evaluating the given expression:

Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒ 
Applying fractional exponent rule;
I.e., ![a^{\frac{x}{y} } = \sqrt[y]{a^x}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%20%7D%20%3D%20%5Csqrt%5By%5D%7Ba%5Ex%7D)
⇒ ![\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B126%5E%7B3%2F4%7D%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B126%5E3%7D%20%7D)
⇒ 1/![\sqrt[4]{2000376}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2000376%7D)
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
Learn more about exponent rules here:
brainly.com/question/11975096
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