Solve this I don't understand this
1 answer:
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Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors </u>
One vector is a linear combination of
and
if there are two scalars
such as
In our case, all the vectors are given in but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of and
, so the solution is
Answer:
(-8, -6)
Step-by-step explanation:
When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).
The solution to the system is (-8, -6).
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The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.
