0
How do you find the solution to x2-4y2 equals 16 and 2y-x equals 2?
Wiki User
∙ 14y ago
x2 - 4y2 = 16
∴ (x - 2y)(x + 2y) = 16
2y - x = 2
∴ x = 2y - 2
∴ ([2y - 2] - 2y)([2y - 2] + 2y) = 16
∴ (y - 1 - y)(y - 1 + y) = 16
∴ -1(2y - 1) = 16
∴ 1 - 2y = 16
∴ -2y = 15
∴ y = -7.5
2y - x = -2
∴ -15 - x = -2
∴ x = -13
So the point of intersection is (-13, -7.5)
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is 2yx PLUS 2yx?
4yx
Differentiate 2yx plus 4xy plus 2 equals 6?
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
How would you graph -2yx 8?
Assume we want to graph -2yx = 8. Divide both sides by -2x, so we have: y = -4/x This equation gives two hyperbolas, one in Quad. II and another in Quad. IV. You can graph the function by substituting each x value for the expression to determine the full coordinates of the points. Finally, plot them on the graph and connect them with a line.
What is the slope of a line represented by the equation 2yx-4?
If you mean: 2y = x-4 then y = 0.5x-2 whereas the slope is 0.5 or a 1/2 and the y intercept is -2
Is this a perfect trinomial square x2 plus 50x plus 100?
Imagine that it is a square of a binomial.It would have to be of the form (X+Y)^2, where Y is some real number.Using the FOIL method, expanding the square should get you...X^2+XY+YX+Y^2, which you can simplify to X^2+2YX+Y^2.So, X^2+50X+100 = X^2+2YX+Y^2Y^2 must equal 100, and 2Y must equal 50.But, there's no value for Y like that, is there?
What is 2yx PLUS 2yx?
4yx
Differentiate 2yx plus 4xy plus 2 equals 6?
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
How would you graph -2yx 8?
Assume we want to graph -2yx = 8. Divide both sides by -2x, so we have: y = -4/x This equation gives two hyperbolas, one in Quad. II and another in Quad. IV. You can graph the function by substituting each x value for the expression to determine the full coordinates of the points. Finally, plot them on the graph and connect them with a line.
What is the simplest form of -2yx 8?
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" etc. Also use ^ to indicate powers (eg x-squared = x^2).
Which expression is equivalent to 3xy 10xy - 5x 2x - 2yx?
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", "times", "divided by", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y^2 or (x + y)^2.
What is the slope of a line represented by the equation 2yx-4?
If you mean: 2y = x-4 then y = 0.5x-2 whereas the slope is 0.5 or a 1/2 and the y intercept is -2
What is 2x times x times y divided by 9 times y squared?
18
Is this a perfect trinomial square x2 plus 50x plus 100?
Imagine that it is a square of a binomial.It would have to be of the form (X+Y)^2, where Y is some real number.Using the FOIL method, expanding the square should get you...X^2+XY+YX+Y^2, which you can simplify to X^2+2YX+Y^2.So, X^2+50X+100 = X^2+2YX+Y^2Y^2 must equal 100, and 2Y must equal 50.But, there's no value for Y like that, is there?
Find the function whose inverse is the same as the function itself?
f ( x ) = (x-2)/(x-1)if y = (x-2)/(x-1)yx-y= x - 2yx-x= -2+yx(y-1)=y-2x = (y-2)/(y-1)so g ( x ) the inverse function is also (x-2)/(x-1)
Where are the points of contact when the line x equals 2 -2y crosses the curve x squared plus 4y squared equals 4?
The two equations are:x = 2 - 2yx² + 4y² = 4The points where the first meets the second are the values of x and y that simultaneously satisfy both equations:Substitute using (1) for x in (2) and solve the formed quadratic:x² + 4y² = 4→ (2 - 2y)² + 4y² = 4→ 4 - 8y + 4y² + 4y² -4 = 0→ 8y² - 8y = 0→ 8y(y - 1) = 0→ y = 0 or y = 1Substituting these values back into (1) gives:y = 0 → x = 2 - 2× 0 = 2 - 0 = 2y = 1 → x = 2 - 2× 1 = 2 - 2 = 0→ The line meets the curve at the points (2, 0) and (0, 1)
What is an inverse Relation?
DefinitionA relationship between two numbers in which an increase in the value of one number results in a decrease in the value of the other number.The inverse of the relation(2,3), (4,5), (2,6), (4,6)is(3,2), (5,4), (6,2), (6,4)Generally we switch the roles of x and y to find the inverse.For functions, we follow the steps below to find the inverse:Step 1: Switch the x and y.Step 2: Solve for y.Step 3: Write in inverse notation.ExampleFind the inverse ofy = 2x + 1SolutionWe writex = 2y + 1We solve:x - 1 = 2yx - 1y =2We writex - 1f -1(x) =2Notice that the original function took x, multiplied by 2 and added 1, while the inverse function took x, subtracted 1 and divided by2. The inverse function does the reverse of the original function in reverse order.
One number is equal to two times a second number two times the first number plus two times the second number is twenty if you let x stand for the first number and y for the second what are the two num?
X = 1st numberY = 2nd numberFacts given:X = 2Y (One number is equal to 2 times the second number)2X + 2Y = 20 (2 times the 1st number, plus 2 times the 2nd number is 20)Now we can easily find X and Y.We'll use a method called substitution to help us.Our first equation: X = 2Y is already solved for X. (it equals 2Y's!)So let's substitute x = 2y into the 2nd equation and find out what y is. Remember to use parenthesis!2x + 2y = 202(2y) + 2y = 204y + 2y = 206y = 20y = 20/6y = 10/3We found a number for Y, even though it is a fraction.Let's substitute it back into our 1st equation to figure out what x is.x = 2yx = 2(10/3)x = 20/3In order to check and see if x = 20/3 and y = 10/3, substitute both x and y into either equation. You pick!2x + 2y = 202(20/3) + 2(10/3) = 2040/3 + 20/3 = 2060/3 = 2020 = 20 (check)
