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2 years ago

Evaluate x + y + z for x = 2, y = -3, z = -4.

Mathematics

2 answers:

ollegr [7]2 years ago

7 0

Answer: -5

Step-by-step explanation: Substitute the value of the variable into the expression and simplify. After doing this you should get the answer of -5

Equations: X (2)+ Y (-3)+ Z (-4)

2+(-3)= -1

-1 + (-4)= -5

Final Answer: -5

stiks02 [169]2 years ago

4 0

X+Y+Z=2+(-3)+(-4)=-5
That's your answer, lovely~

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2 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

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Answer:

The solution to the equation system given is:

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Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

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$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

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And, with the second equation:

3x + y = 5
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6 - 1 = 5
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