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Korvikt [17]
2 years ago
6

5x − 8( 1 + 7x ) = −8

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
6 0

Answer:

x = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

5x - 8(1 + 7x) = -8

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -8:                              5x - 8 - 56x = -8
  2. Combine like terms:                  -51x - 8 = -8
  3. Isolate <em>x</em> term:                            -51x = 0
  4. Isolate <em>x</em>:                                     x = 0

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it is a solution.</em>

  1. Substitute in <em>x</em>:                    5(0) - 8(1 + 7(0)) = -8
  2. Multiply:                               0 - 8(1 + 0) = -8
  3. Add:                                      -8(1) = -8
  4. Multiply:                                -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = 0 is a solution of the equation.

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Given the matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] х 1 2 3 4 C21 C22 C11 = C12 = -2 C22 - C215 DONE​
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Answer:

\:c_{11}=-2,\:\:\:c_{12}=-2

\:c_{21}=5,\:\:\:c_{22}=8

Step-by-step explanation:

Given the matrices

A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}

B=\begin{pmatrix}1&2\\ \:3&4\end{pmatrix}

Calculating AB:

\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}

Multiply the rows of the first matrix by the columns of the second matrix

                                   =\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}

                                   =\begin{pmatrix}-2&-2\\ 5&8\end{pmatrix}

Hence,

\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}

Therefore,

\:c_{11}=-2,\:\:\:c_{12}=-2

\:c_{21}=5,\:\:\:c_{22}=8

5 0
3 years ago
Read 2 more answers
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