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What are the solutions to x square -xy -y square equals -11 and 2x plus y equals 1 showing work?
If: 2x+y = 1 then y = 1-2x
If: x^2 -xy -y^2 = -11 then x^2 -x(1-2x) -(1-2x)^2 -11 = 0
Multiplying out the brackets: x^2 -x+2x^2 -1+4x -4x^2+11 = 0
Collecting like terms: -x^2+3x+10 = 0
Solving the above quadratic equation: x = 5 or x = -2
Solutions by substitution: when x = 5 then y = -9 and when x = -2 then y = 5
What else can I help you with?
Triangle plus triangle plus triangle equals square plus square equals hexagon what is its equivalent ni numbers?
24
How do you solve 2x plus y equals 0 and 4x plus 2y equals 0?
many solutions
How many solutions does the linear system -8x plus 2y equals 6 and -4x plus y equals 3 have?
Two solutions and they are:- x = 0 and y = 3
Solve by completing square 2x² - 6x plus 7 equals 0?
This quadratic equation has no solutions because the discriminant is less than zero.
How many solutions do these equations have x equals y plus 1 y equals x plus 1?
1
What is x2 -2x plus 2 equals 0?
It is a quadratic equation with no real roots or real solutions. In the complex domain, the solutions are 1 +/- i where i is the imaginary square root of -1.
What is the nature of the solutions of the equation x2 plus 11 equals 0?
The two solutions are the conjugate complex numbers, +i*sqrt(11) and -i*sqrt(11), where i is the imaginary square root of -1.
Triangle plus triangle plus triangle equals square plus square equals hexagon what is its equivalent ni numbers?
24
How do you solve 2x plus y equals 0 and 4x plus 2y equals 0?
many solutions
How many positive integer solutions are there to the equation x plus y plus z equals 17?
There are 120 solutions.
9x4 plus 27x3 - 4x2 - 12x equals 0?
There are four solutions to 9x4 plus 27x3 - 4x2 - 12x equals 0. One of the solutions is x = -3.
How many solutions does the linear system -8x plus 2y equals 6 and -4x plus y equals 3 have?
Two solutions and they are:- x = 0 and y = 3
Solve by completing square 2x² - 6x plus 7 equals 0?
This quadratic equation has no solutions because the discriminant is less than zero.
How many solutions do these equations have x equals y plus 1 y equals x plus 1?
1
How many solutions does 2x plus y equals 5 and 2y plus x equals 4 have?
1 solution
What is square plus square equals?
100 equales
How many solutions exist for the system of equation x plus 6y equals 12 plus 2x plus 12y equals 1?
zero solutions. If you plot these two lines, you will see that they are parallel and do not intersect.
