The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
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Answer:
Below.
Step-by-step explanation:
15y + 12x = 18
5y + 4x = 6
The second equations is the first times 3 so they are basically the same.
Infinite Solutions.
2x+ 3y= 12
-6y= 4x-24 Rearranging the second equation:
-4x - 6y = -24 Multiplying the first equation by 2:
4x + 6y = 24
- we see that the last equation is -1 * previous equation.
So there are infinite solutions.
Answer:
=3.8x108+1.6x107
Step-by-step explanation:
Answer:
"line" a straight line graph is always linear once the line isn't straight, it'll no longer be called a line and will never be linear anymore