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What are the solutions to x squared plus xy plus y squared equals 7 and 2x plus y equals 1 with work shown?
If: 2x+y = 1 then y = 1-2x
If: x^2+xy+y^2 = 7 then x^2+x(1-2x)+(1-2x)^2-7 = 0
So: x^2+x-2x^2+1-4x+4x^2-7 = 0
Collecting like terms: 3x^2-3x-6 = 0 => x^2-x-2 = 0
Solving the above quadratic equation: x = -1 or x = 3
Solutions by substitution: when x = -1 then y = 3 and when x = 2 then y = -3
What else can I help you with?
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
Is 4y squared plus 9 equals - 4 a linear equation?
No. It's a quadratic equation, and it has two solutions.
What are the solutions to -x squared plus 2x plus 4 and x-2?
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.
How many real solutions are there to the equation shown below 4x2 plus x - 1 equals 0?
2.
What are the solutions for negative x squared plus 2.5x plus 1 equals 0?
-x2+2.5x+1=0 x=-0.350781 x=2.85078
Find the solutions for 4x squared plus 4x plus 1 equals 0?
x = -½
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
Is 4y squared plus 9 equals - 4 a linear equation?
No. It's a quadratic equation, and it has two solutions.
How do you find 9x squared plus four x plus 2 equals zero?
It has no solutions because the discriminant is less than zero.
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 are the solutions to -x squared plus 2x plus 4 and x-2?
These are two expressions, not equations. Expressions do not have solutions, only equations do. NB equations include the equals sign.
1 squared plus 1 squared plus 2 squared plus 3 squared plus 5 squared plus 8 squared equals?
104
How many real solutions are there to the equation shown below 4x2 plus x - 1 equals 0?
2.
What are the solutions for negative x squared plus 2.5x plus 1 equals 0?
-x2+2.5x+1=0 x=-0.350781 x=2.85078
What is x squared plus 5x minus 36 equals 0?
It is a quadratic equation and its solutions are: x = 4 or x = -9
Solutions for 4x squared plus 4x plus 1 equals 0?
(2x + 1)(2x + 1) or (2x + 1)2 so x = -0.5
X squared plus y squared plus z if x equals 7 y equals 6 and z equals 4?
89
