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2 years ago

Solve what is 2-2 plus 2 times 2 divide by 2

Mathematics

2 answers:

poizon [28]2 years ago

6 0

Answer:

Step-by-step explanation:

Rus_ich [418]2 years ago

4 0

<h3><u>Given Questions:- </u></h3>

$\red{➤}\:$ $\sf 2-2+2×2÷2$

$\\$

<h3><u>Solution</u>:-</h3>

$\begin{gathered}\\\quad\longrightarrow\quad\sf 2-2+2×2÷2 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 2-2+2×1 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 2-2+2 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 2+2-2\quad\quad(Rearranged) \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 4-2 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {2}} \\\end{gathered}$

<h3><u>Remember</u>-</h3>

Use the Concept of BODMAS

B - Bracket

O - Open

D - Division

M - Multiplication

A - Addition

S - Subtraction

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Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

$5x+4y+5z=-1$

$x+y+2z=1$

$2x+y-z=-3$

Firs we find determinant of system of equations

Let a matrix A= $\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]$ and B= $\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]$

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$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]$

Apply $R_3\rightarrow R_3+R_2$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]$

Apply $R_3\rightarrow- \frac{1}{2}$ and $R_2\rightarrow R_2-R_3$

$\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Apply $R_1\rightarrow R_1-R_3$

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

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