Step-by-step explanation:
x2-8x-3x+24=0
x(x-8) 3(x+8)
(x-8)(x+8)
x-8=0 or x+8=0
x=8. x= -8
Which answer :) xx just for help
Answer:
y = 2x-3
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/(x2-x1)
= (1--3)/(2-0)
= (1+3)/(2-0)
=4/2
= 2
The y intercept (where x=0) is -3
We can use the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 2x-3
Answer:
The solution to the system is
,
and
Step-by-step explanation:
Cramer's rule defines the solution of a system of equations in the following way:
,
and
where
,
and
are the determinants formed by replacing the x,y and z-column values with the answer-column values respectively.
is the determinant of the system. Let's see how this rule applies to this system.
The system can be written in matrix form like:
![\left[\begin{array}{ccc}5&-3&1\\0&2&-3\\7&10&0\end{array}\right]\times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}6&11&-13\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-3%261%5C%5C0%262%26-3%5C%5C7%2610%260%5Cend%7Barray%7D%5Cright%5D%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D6%2611%26-13%5Cend%7Barray%7D%5Cright%5D)
Then each of the previous determinants are given by:
Notice how the x-column has been substituted with the answer-column one.
Notice how the y-column has been substituted with the answer-column one.

Then, substituting the values:


