HELP PLS SHOW WORK ITS 2 PARTS
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Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
The equation of a line is given by the expression:
y=Mx + b
This is the slope form of an equation where M is the gradient of line and b is the y intercept.
For the slope, M= change in y values/ change is x values
(-3,8) , (-7,8) thus the slope m,=(8-8)/(-7--3)
m=0/-4 =0
the slope is 0
To find the b substitute the values in the equation y=Mx+b
Taking point (-3,8) and slope of 0
y=Mx+b
8=0*(-3) + b
8=0+b
8=b
The value of b is 8
The equation of the line will be;
The equation of the line is y=8