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What are the points of intersection of the equations of 3x minus 2y equals 1 and 3x squared minus 2y squared plus 5 equals 0 showing details of your work?
Wiki User
∙ 13y ago
A: 3x-2y = 1 => 3x = 1+2y
B: 3x2-2y2+5 = 0 => 3x2 = 2y2-5
Square both sides in equation A: 9x2 = 1+4y+4y2
Multiply all terms by 3 in equation B: 9x2 = 6y2-15
So it follows that:-
6y2-15 = 1+4y+4y2 and 6y2-15-1-4y-4y2 = 0
Collect like terms: 2y2-4y-16 = 0
Divide all terms by 2: y2-2y-8 = 0
Factorise: (y-4)(y+2) = 0
Therefore: y = 4 or y = -2
Substitute the above y values into the linear equation to find the values of x:
The points of intersection are: (3, 4) and (-1,-2)
Wiki User
∙ 13y ago
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Where are the points of intersection of the equations 4y squared -3x squared equals 1 and x -2y equals 1?
The points of intersection of the equations 4y^2 -3x^2 = 1 and x -2 = 1 are at (0, -1/2) and (-1, -1)
For systems in which there is no linear equation you can isolate and substitute a variable that is what in both equations?
squared
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin isolating and substituting a variable that is squared in both equations?
true
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin by isolating and substituting a variable that is squared in both equations?
true
How do you graph this y 3x 6 and y -x-2?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.There are no equals signs and so no equations to plot!Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.There are no equals signs and so no equations to plot!Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.There are no equals signs and so no equations to plot!Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.There are no equals signs and so no equations to plot!
Where are the points of intersection of the equations 4y squared -3x squared equals 1 and x -2y equals 1?
The points of intersection of the equations 4y^2 -3x^2 = 1 and x -2 = 1 are at (0, -1/2) and (-1, -1)
What are the points of intersection of the line x -y equals 2 with x squared -4y squared equals 5?
The points of intersection are: (7/3, 1/3) and (3, 1)
What are the points of intersection of 3x -2y -1 equals 0 with 3x squared -2y squared equals -5 on the Cartesian plane?
Points of intersection work out as: (3, 4) and (-1, -2)
What are the point of intersection of x is equal to y squared plus 2y?
You need two, or more, curves for points of intersection.
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
Do linear equations contain x squared?
No, linear equations don't have x2. Equation with x and y are usually linear equations. Equations with either x2 or y2 (but never both) are usually quadratic equations.
What does squared mean in math equations?
Times itself. For example, 4 squared would be 4x4 = 16. 5 squared would be 5x5 = 25 etc
For systems in which there is no linear equation you can isolate and substitute a variable that is what in both equations?
squared
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin isolating and substituting a variable that is squared in both equations?
true
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin by isolating and substituting a variable that is squared in both equations.?
true
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.
What are the points of intersection of x plus y equals 7 with x squared plus y squared equals 25 showing key stages of work?
If: x+y = 7 and x2+y2 = 25 Then: x = 7-y and so (7-y)2+y2 = 25 => 2y2-14y+24 = 0 Solving the quadratic equation: y = 4 and y = 3 By substitution points of intersection: (3, 4) and (4, 3)
