Answer:
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Step-by-step explanation:
I’m not to sure I was wondering the same thing
The 12th term in the sequence is -26.
Given,
B (n) = -4 – 2(n – 1)
We have to find the 12th term in the sequence:
To find the nth term in an arithmetic sequence:
An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
Here,
First term, a = -4
Common difference, d = -2
nth term = 12
Now, let’s find 12th term
B(n) = -4 -2(n – 1)
B(12) = -4 – 2(12 – 1)
B(12) = -4 -2(11)
B(12) = -4 -22
B(12) = -26
That is, the 12th term in the sequence is -26.
Learn more about arithmetic sequence here:
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X=-1 and y=3
To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.
You now have 3x - (2x + 5) =-6
This can be solved like a normal equation. Multiply each term in the parenthesis by -1.
3x - 2x - 5 = -6
Subtract 2x from 3x
x - 5 = -6
Add 5 to both sides
x=-1
Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.
y= 2(-1)+5
y= -2+5
y=3
You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.
Answer:
Step-by-step explanation:
Subtract 2x
from both sides of the equation.
y=8−2x
x−y=2
Replace all occurrences of y
in x−y=2 with 8−2x
.
y=8−2x
x−(8−2x)=2
Simplify the left side.
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y=8−2x
3x−8=2
Solve for x
in the second equation.
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y=8−2x
x=103
Replace all occurrences of x
in y=8−2x with 103
.
y=8−2(103)
x=103
Simplify 8−2(103)
.
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y=43
x=103
The solution to the system of equations can be represented as a point.
(103,43)
