What are the values of x and y in the matrix equation below? (PICTURED)
2 answers:
Answer:
4.) x=-3 and y=4
Step-by-step explanation:
[x+4] + [-9x] = [28]
First plug in x into the equation
[-3+4] + [-9(-3)] = [28]
[1] + [27] = [28]
1+27=28 (True)
Next, plug in y into the equation
[y^2+1] + [-17] = [0]
[(4)(4)+1] + [-17] = [0]
[16+1] + [-17] = [0]
[17] + [-17] =[0]
17 + -17=0 (True)
The Answer is D- X = -3 and Y= 4
Given the matrix equation:
![\left[\begin{array}{ccc}x+4\\y^{2}+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2B4%5C%5Cy%5E%7B2%7D%2B1%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9x%5C%5C-17%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
i.e., ![\left[\begin{array}{ccc}x+4-9x\\y^{2}+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2B4-9x%5C%5Cy%5E%7B2%7D%2B1-17%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
i.e., ![\left[\begin{array}{ccc}4-8x\\y^{2}-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-8x%5C%5Cy%5E%7B2%7D-16%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
Now, comparing left hand side with right side, we have:
and 
i.e.,
and 
i.e.,
and 
i.e.,
and 
i.e.,
and 
Hence, third option is correct.
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