Which ordered pair is a solution to the system of equations?
2 answers:
Answer:
B) (-2,1)
Step-by-step explanation:
In order to find a solution to a system of equations, substitute the point's x and y values into both of the equations, solve, and see if it makes the equation true.
1) Let's try the point (-2,1). First, substitute its x and y values into the first equation, 3x - 3y = -9. Thus, substitute -2 for x and 1 for y in the equation and solve:
-9 does equal -9, thus (-2, 1) makes the first equation true.
2) Now, do the same thing but with the second equation, 2x + y = -3. Again, substitute -2 for x and 1 for y and solve:
-3 does equal -3, thus (-2, 1) makes the second equation true.
By substituting its values into both equations, we saw that it made both equations true. Thus, (-2,1) is the answer.
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Answer:
The sum of the arithmetic sequence is .
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is and the common difference is d, then the nth term of the sequence is given by:
For the sequence
The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is