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2 years ago

15

X+y=0.5 x-y=1 elimination meathod

1 answer:

user100 [1]2 years ago

8 0

Answer:

$x=0.75, y=-0.25$

Step-by-step explanation:

We can add the two equations to eliminate $y$ and solve for $x$ .

$x+y+x-y=0.5+1$

$2x=1.5$

$x=0.75$

Now, we can find for $y$ by using substitution:

$x+y=0.5$ (given)

$0.75+y=0.5$

$y=-0.25$

Hope this helps :)

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$x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6$

Augmented matrix:

$\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]$

Reduced Row Echelon matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]$

Step-by-step explanation:

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$\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]$

For notation, R_n is the new nth row and r_n the unchanged one.

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2. Operations:

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I'll abbreviate the definite integral with the notation,

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