Which of the following represents the sum of the polynomials below?
1 answer:
Answer:
A
Step-by-step explanation:
First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)
Combine like terms:
(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)
So, we get
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3x + 4y = 5
2x - 5y = 8
To answer this question, we need to put both of these equations into Slope-Intercept form, or in other words, solve for y.
3x + 4y = 5 Subtract 3x from both sides
4y = -3x + 5 Divide both sides by 4
y =
+ 
2x - 5y = 8 Subtract 2x from both sides
-5y = -2x + 8 Divide both sides by -5
y =
- 
When you look at the two equations, you can see that their slopes are completely different, so they aren't parallel, or inconsistent. Since is not the same as<span> , they aren't the same line, or dependent. So, the only option left is that they are consistent and independent.</span>
2x - 5y = 8
To answer this question, we need to put both of these equations into Slope-Intercept form, or in other words, solve for y.
3x + 4y = 5 Subtract 3x from both sides
4y = -3x + 5 Divide both sides by 4
y =
2x - 5y = 8 Subtract 2x from both sides
-5y = -2x + 8 Divide both sides by -5
y =
When you look at the two equations, you can see that their slopes are completely different, so they aren't parallel, or inconsistent. Since