Answer:125
Step-by-step explanation:
Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
2x + 5y = -15 is the standard form of equation
<em><u>Solution:</u></em>
Given that,
<em><u>The point slope form of the equation of the line that passes through (-5, -1) and (10, -7) is given by:</u></em>

We have to write the standard form of the equation
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
<em><u>Let us convert the given equation into standard form</u></em>

Thus the standard form of equation is found
The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.
Answer:
its hard to explain as a simple answer but i can explain w an example
Step-by-step explanation:
lets say the equation is 2 (3×5), rather than using pemdas and doing 3×5 fist, you take the 2 amd multiply it by the numbers in the paranthesis, so, do that snd u get 2×3 which equals 6 and then u do 2×5 which equals 10 so the equation in the end should be 6+10 which equals 16, and obviously if u use pemdas u would gey a different answer (the answer if u use pemdas is 30)