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What are the solutions to x square -xy -y square equals -11 and 2x plus y equals 1 showing work?
Wiki User
∙ 8y ago
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
Wiki User
∙ 8y ago
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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 exist for the system of equation x plus 6y equals 12 plus 2x plus 12y equals 1?
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