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What are the solutions to the simultaneous equations of x -2y plus 12 equals 0 and x square plus y square -x -31 equals 0 showing work?
Wiki User
∙ 7y ago
If: x-2y+12 = 0 then x = 2y-12
If: x = 2y-12 then x^2 = (2y-12)^2 which is 4y^2-48y+144
If: x^2 +y^2 -x -31 = 0
Then: 4y^2 -48y +144+y^2 -(2y-12) -31 = 0
Removing brackets and collecting like terms: 5y^2 -50y +125 = 0
Divide all terms by 5 and factorize: (y-5)(y-5) = 0 => y = 5
Therefore by substitution solutions are: x = -2 and y = 5
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoI suggest you solve the first equation for "x", replace that in the second equation, then use the quadratic formula to solve the combined formula. For each of the two values of "y" (you can usually expect two values for a quadratic equation), replace that in the first equation, to find the corresponding value for "x".
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What type of system is 3x plus 2y equals 7 and -4x-3y equals 10?
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9x-3y equals 24 y equals 3x-8 the system?
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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
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What are the solutions to the simultaneous equations of 2x plus y equals 5 and x squared -y squared equals 3?
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What is the system of equations set in order pairs 3x plus 4y equals 38 5x - 5y equals -30?
Simultaneous equations.
How many solutions do the following equations have in common 8y equals -75x - 22 and 75x equals -8y plus 22?
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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 3x -y equals 5 and 2x2 plus y2 equals 129?
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How do you find the solutions of the simultaneous equations of 2x plus 5y equals 16 and -5x-2y equals 2 showing work in step by step stages?
1 If: 2x+5y = 16 and -5x-2y = 2 2 Then: 2*(2x+5y =16) and 5*(-5x-2y = 2) is equvalent to the above equations 3 Thus: 4x+10y = 32 and -25x-10y = 10 4 Adding both equations: -21x = 42 or x = -2 5 Solutions by substitution: x = -2 and y = 4
