-3.5 * 2 = -7
-3.5 * 3n = 10.5n
So there is (-7 - 10.5n) -2.5n
Now combine like terms
10.5n - 2.5n = 8n
ANSWER = -7 + 8n
Answer: -600 and 1600 were invested into the two accounts.
Step-by-step explanation:
x = amount invested in the first account.
y = amount invested in the second account.
You start off with this equation


Subtract both sides by y.

Subsitude 1000 - x for x for the second equation.

Use the distributive property to solve for y.




Subsitude -600 for y in the first equation and solve for x.


-600 and 1600 were invested into the two accounts.
Okay, just break it up so you're not overwhelming yourself or anything :)
So here, do it in steps-
Let's do 5(3 + t) first:
Distribute the 5, or in non-mathematical terms, just multiply 5 by 3 and t. This will give you 15 + 5t.
Now onto -3(t + 1):
Again, just multiply -3 by t and 1. This will come out to: -3t - 3.
*Note: the 3 is negative because it's "MINUS 3" in the original equation and remember that any number times a negative, if it isn't negative itself, will turn out to be negative.... (aka "-" x "-" = "+" | "+" x "+" = "+" | "-" x "+" = "-")*
ANYWAY
Now just put both answer together and you get:
15 + 5t -3t - 3. You can only add and minus the LIKETERMS (which are the things that are the same) - in this case, the liketerms are 15 and -3 ,,,, AND 5t and -3t.
15 - 3 = 12
5t - 3t = 2t
12 + 2t is your final answer. Hope that helps! :)
The slope of a line perpendicular to another is the negative reciprocal of the original. The negative reciprocal of -1 is 1. The equation will read:
y=x+b
To solve for the y-intercept (b), plug in the given values of x and y:
4=-2+b
<em>*Add 2 to both sides*</em>
D. 6
Hope this helps!!