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What are the solutions to the simultaneous equations of x -2y equals 1 and 3xy -y squared equals 8 showing all appropiate work with answers?
Wiki User
∙ 8y ago
If: x-2y = 1 and 3xy -y^2 = 8
Then: x = 1+2y and 3(1+2y)y -y^2 = 8
Hence: 3y+6y^2 -y^2 = 8 => 5y^2 +3y -8 = 0
Solving the above quadratic equation: y =1 or y = -8/5
Solutions by substitution are: when y=1 then x=3 and when y=-8/5 then x=-11/5
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoSolve the first equation for "x", then replace that in the second equation. Solve the combined equation.
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Where did the math symbol pi in math come from?
several equations' answers come out to 3.14 and so on, thats pi
What x what equals 117?
If limited to integer solutions, the answers are: 1*117, 3*39 and 9*13
What expression has an answer of 18?
An expression does not have answers or solutions because it's not an equation.
How can you do a simultaneous equation in maths?
Simultaneous Equations are very helpful because it can help u solve problems in real life. There are 2 ways to approach a simultaneous equation, Substitution and elimination method. As a good practice it is always good to practice your substitution method first. I wont go too advance for now but consider this question; Find two numbers whose sum is 21 and difference is 9. This question requires 2 equation to solve; thus it is call simultaneous equation. Solve: Let x be a number, and Let y be another number. x + y = 21 equation 1 x - y = 9 equation 2 Rearrange equation 2 to make equation 3(Equation 3 is just to sub into the other eqs) x = 9 + y equation 3 Sub equation 3 into 1 (9 + y) + y = 21 9 + 2y = 21 2y = 12 y = 6 First solution! Sub y = 6 into equation 2 x - 6 = 9 x = 15 Second Solution! Therefore, the numbers are 15 and 6. In a simultaneous equation (with 2 variable) there will always be 2 answers. Good luck and hope this help.
Why do imaginary answers occur in quadratic equations?
imaginary numbers occur in the quadratic formula because of the radical symbol, and the possibility of a negative radican and that results in imaginary numbers. I hope this helped!
How do you answer equations?
The answers to equations are their solutions
How many correct solutions can an equation have?
It depends on the equation. The equations we normally deal with in real life usually have one, however, equations can have a potentially infinite number of answers.
Do all quadratic equations have two solutions?
I may only be in 8th grade but I am absolutely positive that all quadratic equations have 2 solutions. No - They may have 0,1, or 2 answers For example, the problem x^2 + 8x +16 = 0 has only one solution -4. This is because the radical evaluates to 0 rendering the +/- sign irrelevant.
What has only one solution?
There are many possible answers to this question. Some of these areA linear equation.A system of n independent linear simultaneous equations is n unknowns.Quadratic equations in which the two real roots are coincident.Cubic equation where either all three roots are coincident or, if the domain is real, then when two of the roots are imaginary.
How do you solve a system of equation with 3 equations and 3 variables?
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers. If you don't: You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination. For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.
Answers to Word equations?
zinc + oxygen
What is an analogy for answers?
questions are to answers as problems are to solutions
Can I reprint your answers to my solutions?
If you're asking me then yes, you can. But I don't think I'm giving you answers to your solutions. If you provided the solutions then there would be no need for anwers.
Are there any websites you can go on to find solutions not answers?
As of 2013, there are over twenty websites online where there are solutions listed, not answers. Some of the names of the websites are Diverse Solutions, Cramster, and Network Solutions.
What an IT solutions firm does?
they supply answers and "solutions" at a cost for any It problem you should have!
Why do you check your answers for rational equations and radical equations?
You plug the number back into the original equation. If you have a specific example, that would help.
How would you graph the solution set of -18?
It is the single point: -18. =========================== Questions need answers, and equations need solutions. -18 is simply a number. It doesn't ask a question, and it doesn't need a solution. It's like looking for the answer to "purple".
