Q: What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The solutions are: x = 4, y = 2 and x = -4, y = -2

1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)

These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.

They are simultaneous equations and their solutions are x = 41 and y = -58

Merge the equations together and form a quadratic equation in terms of x:- 3x2-20x+28 = 0 (3x-14)(x-2) = 0 x = 14/3 or x = 2 So when x = 14/3 then y = -13/3 and when x = 2 then y = 1

Related questions

The solutions are: x = 4, y = 2 and x = -4, y = -2

If: 2x+y = 5 and x2-y2 = 3 Then the solutions work out as: (2, 1) and ( 14/3, -13/3)

The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.

These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.

1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)

Through a process of elimination and substitution the solutions are s = 8 and x = 5

They are simultaneous equations and their solutions are x = 41 and y = -58

Simultaneous suggests at least two equations.

Merge the equations together and form a quadratic equation in terms of x:- 3x2-20x+28 = 0 (3x-14)(x-2) = 0 x = 14/3 or x = 2 So when x = 14/3 then y = -13/3 and when x = 2 then y = 1

Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5

Simultaneous equations.

The system is simultaneous linear equations