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Diano4ka-milaya [45]
4 years ago
13

Solve the system of equations for the variables: x+2y-z=3 x+y-2z= -1

Mathematics
2 answers:
8_murik_8 [283]4 years ago
4 0

Answer:

z=0

x= -5

y=4

Step-by-step explanation:

Check the attachment please

Hope this helps :)

Alenkasestr [34]4 years ago
3 0

Step-by-step explanation:

x + 2y − z = 3

x + y − 2z = -1

There are three variables but only two equations, so this system of equations is undefined.  We cannot solve for the variables, but we can eliminate one of them and reduce this to a single equation.

Double the first equation:

2x + 4y − 2z = 6

Subtract the second equation.

(2x + 4y − 2z) − (x + y − 2z) = (6) − (-1)

2x + 4y − 2z − x − y + 2z = 7

x + 3y = 7

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What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?
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There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as (x_1,y_1),(x_2,y_2),(x_3,y_3). The formula is as shown below:

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Now, in our case, we have: (x_1,y_1)=(3,3)

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Area=\frac{1}{2}\begin{vmatrix}3&3&1 \\ 3&-1&1\\ -2&-5&1\end{vmatrix}

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