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2 years ago

7

How many solutions are there for the system of nonlinear equations

1 answer:

irga5000 [103]2 years ago

6 0

The correct answer is 2 Solutions , see it’s how many times the two lines intersect, so 2

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

<u>Given:</u>

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

<u>Plug </u> $y=3$ <u> into the solved expression for </u> $z$ <u> and evaluate to solve for </u> $z$ <u>:</u>

$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

What is the degree of 6х5 – 4х2 + 2х3 – 3+х?

DiKsa [7]

5 because the highest power= degree of the function

5 0

2 years ago

Laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation o

BartSMP [9]

Answer:

34

Step-by-step explanation:

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3 years ago

What is 2/5% as a fraction?

Mariulka [41]

If it’s a fraction and want it simplified it’s 1/500

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3 years ago

Solve for x.<br><br> 6 x - 2 / 4 = x - 2<br><br> x =

gtnhenbr [62]

Answer: x = 1/4

Explanation: I did the math myself, but answer might be wrong...

8 0

2 years ago