$MathMaster logo$

MathMaster

Home
general
consider the lines l and k given by the equations l ay x a k 4y x a where a is a number such that l and k have an intersec

Question

consider the lines l and k given by the equations : l : ay +x =a k : 4y-x = a where a is a number such that l and k have an intersection point. Give me the intersection point of l and k. Give your asnwer as coordinates

293

likes

1465 views

Answer to a math question consider the lines l and k given by the equations : l : ay +x =a k : 4y-x = a where a is a number such that l and k have an intersection point. Give me the intersection point of l and k. Give your asnwer as coordinates

$Expert avatar$

4.6

108 Answers

ay+x = a; x = a-ay

4y-x=a; 4y-a+ay = a

y(4+a)=2a; y=\frac{2a}{4+a}

x=a-a(\frac{2a}{4+a}) = a(1-\frac{2a}{4+a})

(x,y) = (a(1-\frac{2a}{4+a}); \frac{2a}{4+a})

Frequently asked questions (FAQs)

What is the relationship between the medians and the centroid of a triangle?

+

Question: Solve the equation z^3 - 8 = 0, where z is a complex number. (

+

Question: Given a right triangle with one leg measuring 5 units and the hypotenuse measuring 13 units, what is the length of the other leg?

+

New questions in Mathematics

A=m/2-t isolate t

Solution to the equation y'' - y' - 6y = 0

a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.

For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight

The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?

Desarrolla (2x)(3y + 2x)5

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

find x in the equation 2x-4=6

Solve : 15/16 divide 12/8 =x/y

What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one

Estimate the quotient for 3.24 ÷ 82

I. Order to add 40.25+1.31+.45 what is the first action to do ?

Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?

Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.

94 divided by 8.75

Convert (324)𝑓𝑖𝑣𝑒 into base-ten

the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length

x(squared) -8x=0