Y = -5x + 6 = -3x - 4
-3x + 5x = 6 + 4
2x = 10
x = 5
y = -5(5) + 6 = -25 + 6 = -19
Solution is (5, -19)
Given:
Consider the given expression is:
To find:
The simplified form of the given expression.
Solution:
We have,
Taking LCM, we get
Therefore, the required simplified fraction for the given expression is .
Answer:
Step-by-step explanation:
Formula
Sn = (a + a + (n - 1)*d) * n / 2
Givens
Sn = 60
a = 3
Solution
You want integer values for d and n
60 = (2*a + (n - 1)*d) * n/2 Multiply both sides by 2
120 = (2*3 + (n - 1)*d ) * n
120 = (6 + n*d - d) * n
120 = 6n + n^2*d - d*n
This gives some really wild results. I will list all of them here. and then discuss them.
These are the ones that give results without any question and are correct.
n d tn
2 54 3 57
3 17 3 20 37
4 8 3 11 19 27
Here are some that are the gift of the equation
20 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Now the equation says the following 3 are correct, but are they? Can you have a negative n? The equation says yes, but I doubt your instructor will.
-5 5
-1 63
-2 22
You can bring these up if you are in a classroom. I wouldn't if you have to submit this to a computer which has absolutely no ability whatever to think about exceptions. Even the 20 0 is one I wouldn't use.
Answer:
118
Step-by-step explanation:
4x² + 3y
= 4(5)² + 3(6)
=4(25) + 18
= 100 + 18
= 118