Wiki User
∙ 13y agoThe solutions are x = 5, y = -9 and x = -2, y = 5.
To solve:
Rearrange (2) to make y = 1 - 2x and substitute into (1):
x2 - xy - y2 = -11
⇒ x2 - x(1 - 2x) - (1 - 2x)2 = -11
⇒ x2 - x + 2x2 - 1 + 4x - 4x2 = -11
⇒ x2 - 3x - 10 = 0
⇒ (x - 5)(x + 2) = 0
⇒ x = 5 giving y = -9 (using x = 5 in equation (1) to find y)
or x = -2 giving y = 5 (using x = -2 in equation (1) to find y)
Wiki User
∙ 13y agoThe solutions are: x = 4, y = 2 and x = -4, y = -2
They are: (3, 1) and (-11/5, -8/5)
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
The solutions are: x = 4, y = 2 and x = -4, y = -2
They are: (3, 1) and (-11/5, -8/5)
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.
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.
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.