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2 years ago

What is the solution to the following system?

1 answer:

5 0

The solutions are x = 1, y = -3, z = 1 after solving with substitution method option second x= 1, y=-3, z = 1 is correct.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have three linear equations in three variable:

4x + 3y - z = -6 ..(1)

6x - y+ 3z = 12 ..(2)

8x + 2y + 4z = 6 ...(3)

From the equation (1)

$\rm x=\dfrac{-6-3y+z}{4}$

Substitute the above value in the equation (2) and (3):

$\rm 6\cdot \dfrac{-6-3y+z}{4}-y+3z=12\\\\ 8\cdot \dfrac{-6-3y+z}{4}+2y+4z=6$

After simplification:

$\rm -11y+9z-18=24\\ -4y+6z-12=6$

After solving the above two equations by substitution method:

z = 1

y = -3

Plug the above two values in the equation (1), we get:

x = 1

Thus, the solutions are x = 1, y = -3, z = 1 after solving with substitution method option second x= 1, y=-3, z = 1 is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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What is 8.475 rounded to the nearest tenth

pentagon [3]

7 is closer to 10 and is more than half. 5 and up, go up one. 4 and below, stay the same.

8.475= 8.5

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3 years ago

Marcus makes punch that is 1/4 cranberry juice which two fractions are equivalent To 1/4

balu736 [363]

The answer is 2/8 and 4/12 because if you times the 1/4 equation by 2 you would get 2/8 and then times 1/4 by 3 then you would get 4/12

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3 years ago

Read 2 more answers

A total of 150 students have taken an Algebra 2 final exam. The scores are normally distributed with a mean of 71% and standard

WARRIOR [948]

Answer:

102 students

Step-by-step explanation:

Note that 65% and 71% are both 1 standard deviation from the mean (71%). According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.

68% of 150 students would be 0.68(150 students) = 102 students

3 0

3 years ago

Help me with this geometry problem please!!!!!

vovikov84 [41]

MAB = 360 - 255 = 105
<ADB = 1/2(mAB) = 1/2(105) = 52.5

Answer
52.5°

4 0

3 years ago

What is the domain of F(x) = In(x)?

jekas [21]

Answer as an inequality: $x > 0$

Answer in interval notation: $(0, \infty)$

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

======================================================

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is $f^{-1}(x) = \log_b(x)$

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, $\log_b(x)$ has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of $\log_b(x)$ is x > 0 which in interval notation would be $(0, \infty)$ . This is the interval from 0 to infinity, excluding both endpoints.

------------------------

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

$\log_e(x) = \text{Ln}(x)$

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

------------------------

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

8 0

3 years ago