Which equation could be used to find the height of the flagpole?
1 answer:
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Yasss
3x+5y=7
6x-1y=-8
so what you do is remove the placeholders ad put them in matrix form
so
![\left[\begin{array}{ccc}3&5|&7\\6&-1|&-8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%265%7C%267%5C%5C6%26-1%7C%26-8%5Cend%7Barray%7D%5Cright%5D%20)
eliminate one placeholder at a time
remember: first column=x, 2nd column=y, 3rd column=constant
let's eliminate x's
times first row by -2
![\left[\begin{array}{ccc}-6&-10|&-14\\6&-1|&-8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%26-10%7C%26-14%5C%5C6%26-1%7C%26-8%5Cend%7Barray%7D%5Cright%5D%20)
add that to 2nd row
![\left[\begin{array}{ccc}-6&-10|&-14\\0&-11|&-22\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%26-10%7C%26-14%5C%5C0%26-11%7C%26-22%5Cend%7Barray%7D%5Cright%5D%20)
divide last row by -11
![\left[\begin{array}{ccc}-6&-10|&-14\\0&1|&2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%26-10%7C%26-14%5C%5C0%261%7C%262%5Cend%7Barray%7D%5Cright%5D%20)
eliminate y's now
multiply last row by 10
![\left[\begin{array}{ccc}-6&-10|&-14\\0&10|&20\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%26-10%7C%26-14%5C%5C0%2610%7C%2620%5Cend%7Barray%7D%5Cright%5D%20)
add 2nd row to first row
![\left[\begin{array}{ccc}-6&0|&6\\0&10|&20\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%260%7C%266%5C%5C0%2610%7C%2620%5Cend%7Barray%7D%5Cright%5D%20)
divide first row by -6
![\left[\begin{array}{ccc}1&0|&-1\\0&10|&20\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%7C%26-1%5C%5C0%2610%7C%2620%5Cend%7Barray%7D%5Cright%5D%20)
divide last row by 10
![\left[\begin{array}{ccc}1&0|&-1\\0&1|&2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%7C%26-1%5C%5C0%261%7C%262%5Cend%7Barray%7D%5Cright%5D%20)
![\left[\begin{array}{ccc}x&y|&c\\x&y|&c\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%7C%26c%5C%5Cx%26y%7C%26c%5Cend%7Barray%7D%5Cright%5D%20)
1x=-1
1y=2
x=-1
y=2
(-1,2)
3x+5y=7
6x-1y=-8
so what you do is remove the placeholders ad put them in matrix form
so
eliminate one placeholder at a time
remember: first column=x, 2nd column=y, 3rd column=constant
let's eliminate x's
times first row by -2
add that to 2nd row
divide last row by -11
eliminate y's now
multiply last row by 10
add 2nd row to first row
divide first row by -6
divide last row by 10
1x=-1
1y=2
x=-1
y=2
(-1,2)