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3 years ago

Solve for x. 6x - 3 = 21 - 2x (SHOW YOUR WORK)

Mathematics

2 answers:

patriot [66]3 years ago

5 0

Answer:

Simplifying

6x + -3 = 21 + -2x

Reorder the terms:

-3 + 6x = 21 + -2x

Solving

-3 + 6x = 21 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

-3 + 6x + 2x = 21 + -2x + 2x

Combine like terms: 6x + 2x = 8x

-3 + 8x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0

-3 + 8x = 21 + 0

-3 + 8x = 21

Add '3' to each side of the equation.

-3 + 3 + 8x = 21 + 3

Combine like terms: -3 + 3 = 0

0 + 8x = 21 + 3

8x = 21 + 3

Combine like terms: 21 + 3 = 24

8x = 24

Divide each side by '8'.

x = 3

Simplifying

x = 3

Step-by-step explanation:

rewona [7]3 years ago

3 0

Answer:x=3

Step-by-step explanation:first add 2x to both sides to get all the x's together

6x - 3 + 2x = 21

then add three to both sides to get the x's alone

6x + 2x = 21 + 3

simplify both sides of the equation

8x = 24

divide both sides by 8 to get x by itself

24/8 = 3

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Fill in the blank by performing the indicated elementary row operation(s).

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In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

$\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]$

The following operation is given:

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In which $R_1$ is the element at the first line and $R_2$ is the element at the second line.

Updating the first line:

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Thus, the filled matrix will be given by:

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For another example where row operations are applied on a matrix, you can check brainly.com/question/18546657

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