Question

using the matrix tool to solve the system of equation choose the correct ordered pair .
7x+2y=46
8x+8y=64

[ 7, 2,46
8, 8, 64 ]

a ( 4,9)
b ( 4,4)
c ( 2,6)
d ( 6,2)

Answer 1

$$
A=\begin{bmatrix}
7& 2 \\
8& 8 \\
\end{bmatrix}\\
B=
\begin{bmatrix}
46 \\
64 \\
\end{bmatrix}\\
X=\text{ solution}:\\
AX=B\\
X=A^{-1}B
$$
Where \(A^{-1}\) is the inverse of A.

Using Wolfram|Alpha as the tool:

http://www.wolframalpha.com/input/?i=matrix+multiplication&a=*C.matrix+multiplication-_*Calculator.dflt-&f2=inverse%7B%7B7%2C2%7D%2C%7B8%2C8%7D%7D&f=MatricesOperations.theMatrix1%5Cu005finverse%7B%7B7%2C2%7D%2C%7B8%2C8%7D%7D&f3=transpose%7B%7B46%2C64%7D%7D&f=MatricesOperations.theMatrix2_transpose%7B%7B46%2C64%7D%7D&a=*FVarOpt.1-_**-.***MatricesOperations.theMatrix3---.*--

Gives us as a solution:
$$
X=\begin{bmatrix}
6 \\
2 \\
\end{bmatrix}
$$

Check our answer:

$$
7(6)+2(2)=46 ~\checkmark \\
8(6)+8(2)=64 ~\checkmark
$$

Make sense?

Answer 2

that went way over my head lol

Answer 3

You need to use matrix tool to solve, correct?

Answer 4

Did you need to solve via some other method?

Answer 5

no its matrix. it just looks different the way you explained it, idk maybe its just me