Find the values of x, y, and λ that satisfy the system of equations. such systems arise in certain problems of calculus, and λ is called the lagrange multiplier. (enter your answers as a comma-separated list. if there is no solution, enter no solution. if the system has an infinite number of solutions, set λ = t and solve for x and y in terms of t.) 4x + λ = 0 4y + λ = 0 x + y − 8 = 0

x=4, y=4, λ=-16

Step-by-step explanation:

We have this 3x3 system of linear equations:

λ

λ

So, let's rewrite the system in its augmented matrix form

Let´s apply row reduction process to  its associated augmented matrix:

Swap R1 and R3

R3-4R1

R3+R2

Now we have a simplified system:

x+y+0=0

0+4y+λ=0

0+0+2λ=-32

Solving for λ, x, and y

λ=-16

x=4

y=4

child does not get an education so she can use the molla on junk

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.