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bija089 [108]
1 year ago
13

Put y-x=-8 of a line into slope-intercept form, simplifying all fractions.

Mathematics
1 answer:
grigory [225]1 year ago
4 0

Answer: y= x-8

Step-by-step explanation:

  • Slope intercept form has a general formula of y=mx +b
  • m represents the slope of the line
  • b represents the value of the lines y-intercept

  • the equation must be rearranged into the general formula by isolating for 'y'

y-x=-8

  • to remove the x from the left side of the equation the opposite operation must be done to both sides

y-x+x=-8+x

  • the negative and positive x cancel out on the left side, leaving us with the equation with y by itself
  • now you can rearrange to put the equation into y=mx+b

Final Answer: y=x-8

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i
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Answer:

The solutions for the given system of equations are:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

Step-by-step explanation:

Given the equation system:

\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.

We obtain the following matrix:

\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]

<u>Step 1:</u> Multiply the fisrt row by 1/3.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]

<u>Step 2:</u> Sum the first row and the second row.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]

<u>Step 3:</u> Multiply the second row by 3/4.

\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]

The result of the reduced matrix is:

\left \{ {{x=-5} \atop {y+4z=12}} \right.

This is equal to:

\left \{ {{x=-5} \atop {y=12-4z}} \right.

These are the solutions for the system of equations in terms of z, where z can be any number.

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Step-by-step explanation:

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Step-by-step explanation:

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What is the value of x?
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Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

<h3>Solve for x</h3>
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