3x + y + Z = 4,3y + X + Z = 0,3z + X + y = 6, addition and subtraction of solutions of ternary linear equation

3x + y + Z = 4,3y + X + Z = 0,3z + X + y = 6, addition and subtraction of solutions of ternary linear equation


3x+y+z=4 (1)
3y+x+z=0 (2)
3z+x+y=6 (3)
(1) + (2) + (3)
5x+5y+5z=10
x+y+z=2 (4)
(1) - (4) get
2x=2
∴x=1
(2) - (4) get
2y=-2
∴y=-1
(3) - (4) get
2z=4
∴z=2
The solution of the system of equations is
x=1
y=-1
z=2



Given that x + 3Z / y = 3Y + Z / x = 3x + Y / z = k, and X + y + Z ≠ 0, find the value of K. (elementary lower Trivariate equation)


From the conditional formula, it is concluded that
①、x+3z=ky
②、3y+z=kx
③、3x+y=kz
(1) + (2) + (3)
4﹙x+y+z﹚=k﹙x+y+z﹚
∵x+y+z≠0
∴k=4



The solution equation: {3x-y-z = 2, {3y-x-z = - 10, {3z-x-y = 10


Three one plus
x+y+z=2
4x=4,x=1
4y=-8,y=-2
z=3



Calculation: (4 / 5 + 0.2) △ 2 / 3 + 7 / 10 =? Solution equation: 3x-1 / 2 = 3.5 × 2


(4/5+0.2)÷2/3+7/10
=1×3/2+7/10
=15/10+7/10
=22/10
=11/5
3X-1/2=3.5×2
3X=7+1/2
3X=15/2
X=15/2÷3
X=5/2



The elementary transformation of matrix will change the trace, but the eigenvalue remains the same, but the trace is equal to the sum of eigenvalues. Isn't this a contradiction?


Elementary transformation will change the eigenvalues of matrix
Only the similarity transformation does not change the eigenvalue of the matrix, other transformations will change the eigenvalue



We know that the sum of a four digit number and the four digit number is equal to 1999, so we can find the four digit number


Let this number be: 1000A + 100b + 10C + D, then there is:
1000A+100B+10C+D+A+B+C+D=1999,
So there is: 1001a + 101b + 11C + 2D = 1999
It can be determined that a = 1,
101B+11C+2D=998
B = 9,
11C+2D=90,
C = 8,
2D=2
D = 1, that is 1981



Is the determinant of a equal to that of - A (negative matrix relation with a)?
For example, why does a not equal a?


Property: | Ka | = k ^ n | a|
So | - a | = (- 1) ^ n ||



Ask a math problem: transform the formula x = 1 / A-1 / b (1-ax ≠ 0) to the known form of X, a and B


b=1/(1-ax)



Output all the Narcissus numbers. Narcissus number refers to a three digit number whose cubic sum of each digit is equal to the number itself. For example, 153 = 1 * 1 * 1 + 5 * 5 * 5 + 3 * 3 * 3
What's wrong with that? I'm a grassroots
#include
void main()
{
int a,b,c;
int m,n;
Printf ("the number of daffodils is: n");
for(a=1;a


#include
void main()
{
int a,b,c;
int m,n;
Printf ("the number of daffodils is: n");
for(a=1;a



Xiao Li read a book. On the first day, she read 10% of the whole book. On the second day, she read 35% of the whole book. On the third day, she read 44 pages, just half of the whole book. How many pages are there in this book?


A: there are 880 pages in this book