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What are the solutions to the simultaneous equations of 3x -5y equals 16 and xy equals 7 shown by completing the square?
If: 3x -5y = 16 then y = 0.6x -3.2
If: xy = 7 then x(0.6x -3.2) -7 = 0
Removing brackets: 0.6x^2 -3.2x -7 = 0
Dividing all terms by 0.6: x^2 -16/3x -35/3 = 0
Completing the square: (x -8/3)^2 -64/9 -35/3 = 0 => (x -8/3)^2 = 169/9
Square root both sides: x -8/3 = -13/3 or +13/3
Add 8/3 to both sides: x = -5/3 or x = 7
Solutions by substitution are: x = -5/3, y = -21/5 and x = 7, y = 1
What else can I help you with?
What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
They are simultaneous equations and their solutions are x = 41 and y = -58
What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8?
They are: (3, 1) and (-11/5, -8/5)
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
The solutions are: x = 4, y = 2 and x = -4, y = -2
What is the system of equations set in order pairs 3x plus 4y equals 38 5x - 5y equals -30?
Simultaneous equations.
9x-3y equals 24 y equals 3x-8 the system?
The system is simultaneous linear equations
What are the solutions to the simultaneous equations of 2s plus 3x equals 31 and 3s plus 4x equals 44?
Through a process of elimination and substitution the solutions are s = 8 and x = 5
What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
They are simultaneous equations and their solutions are x = 41 and y = -58
What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8?
They are: (3, 1) and (-11/5, -8/5)
What are the solutions to the simultaneous equations of x squared plus y squared equals 20 and 2y minus x equals 0?
The solutions are: x = 4, y = 2 and x = -4, y = -2
Simultaneous equation 2x-2y equals 10?
Simultaneous suggests at least two equations.
What is the system of equations and enter the solution as an ordered pair 4x 7y equals 47 5x-4y equals -5?
Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5
What are the solutions to the simultaneous equations of 2x plus y equals 5 and x squared -y squared equals 3?
If: 2x+y = 5 and x2-y2 = 3 Then the solutions work out as: (2, 1) and ( 14/3, -13/3)
What is the system of equations set in order pairs 3x plus 4y equals 38 5x - 5y equals -30?
Simultaneous equations.
9x-3y equals 24 y equals 3x-8 the system?
The system is simultaneous linear equations
How many solutions do the following equations have in common 8y equals -75x - 22 and 75x equals -8y plus 22?
I notice that the ratio of the y-coefficient to the x-coefficient is the same in both equations. I think that's enough to tell me that their graphs are parallel. So they don't intersect, and viewed as a pair of simultaneous equations, they have no solution.
What are the solutions to the simultaneous equations of 3x -y equals 5 and 2x2 plus y2 equals 129?
The solutions work out as: x = 52/11, y = 101/11 and x = -2, y = -11
Simultaneous equations y-3x equals 7 2y-7x equals 17?
x = -3 y = -2
