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3 years ago

Find value for x please and thank you

Mathematics

1 answer:

kykrilka [37]3 years ago

5 0

Answer:

x = - 3

Step-by-step explanation:

Given

3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6 ( subtract 5x from both sides )

- 2x - 12 = - 6 ( add 12 to both sides )

- 2x = 6 ( divide both sides by - 2 )

x = - 3

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Three of the sides will require fencing and the fourth wall already exists.

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Step-by-step explanation:

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3 years ago

4+ y = 10 What is the answer and how do I solve it

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Step-by-step explanation:

4+y=10

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3 years ago

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Read 2 more answers

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

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3 years ago

How long is a guy wire reaching from the top of a 21ft. Pole to a point on the ground 15ft. From the pole

vovikov84 [41]

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

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3 years ago

Find value for x please and thank you​

Find value for x please and thank you