Answer:
The solution is the point (1,-4)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
The solution of the system of equations by graphing is the intersection point both graphs
using a graphing tool
The intersection point is (1,-4)
see the attached figure
therefore
The solution is the point (1,-4)
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