Ternary cubic simultaneous equations 3x-4y+7z=0 ---------------(1) 2x-y-2z=0 ---------------(2) 3x^3-y^3+z^3=0 ---------------(3) How to answer???

Ternary cubic simultaneous equations 3x-4y+7z=0 ---------------(1) 2x-y-2z=0 ---------------(2) 3x^3-y^3+z^3=0 ---------------(3) How to answer???


Knowing y = 2x-2z (4) from 2
Bring (4) into (1)
We have to write x = 3Z (5)
Bring (5) into (4)
y=4z(6)
Substituting (5) (6) into (3)
So 18z ^ 3 = 0
z=0
x=0
y=0



The equations of two circles form a system of equations. What is the solution to this system of equations?


After subtracting the equations of two circles, the quadratic term will be eliminated, and a linear equation will be obtained. Then the linear equation will be brought into the equations of any circle to get a binary linear equation. Then we can see its "b2-4ac". If it is greater than 0, the two circles intersect, if it is less than 0, the two circles are separated, if it is equal to 0, the two circles are tangent



Is x = 1, y = 2 a system of linear equations with two variables


The definition of binary linear equations can be as follows: 1) both are integral equations; 2) there are two unknowns in the system; 3) the degree of unknowns is 1
So x = 1, y = 2 are binary linear equations