miscellaneous equations

Solve for x, y and z

x + y - 4xy = 0
y + z - 6yz = 0
z + x - 8zx = 0

IIT 73

miscellaneous equations

Solve the system of equation:

4x + 4y³ - 10y = 0 --------- (1)
12xy² - 10x + 2y = 0 -------- (2)

Simultaneous equation

If  S = x² + y²

And T = xy

Express x and y in terms of S and T

miscellaneous equations

Solve for x and y:

x² – 2xy = 24

xy - 2y² = 4

miscellaneous equations

Solve the equations:

3x² - 5y² = 7

3xy - 4y² = 2

miscellaneous equations

Solve for x and y

x² - xy + y² = 39

x³+ y³ = 351

miscellaneous equations

Solve for x and y:

x² + xy + y² = 37

x³- y³ = 37

miscellaneous equations,

Solve:   

 x⁴ + x²y² + y⁴ = 21

 x² + xy + y² = 7

miscellaneous equations

Solve the equation: x - y = 1

x³- y³ = 19

miscellaneous equations

Solve the equations:

X³+ y³ = 35

X + y = 5

miscellaneous equations

Solve the equation:

X² – 25y² = 156

X + 5y = 26

miscellaneous equations

miscellaneous equations

miscellaneous equations

miscellaneous equations

Find the value of x and y

(x² + y²)(x + y) = 15

x² + x + y² + y = 8

miscellaneous equations,

If x + y + z = 14

 y² + z² - x² = 46

And, yz = 9

Find x, y and z

miscellaneous equations,

Solve:  ax³ = by³ = cz³,

And, (1/x) + (1/y) + (1/z) = (1/d)

Show that ax² + by² + cz² = d² (a^⅓ + b^⅓ + c^⅓)³

miscellaneous equations

Solve: miscellaneous

(x/y) + (3y/x) = 7/2

(x + y)(x + 3y) = 15