Solve the systems of equations using any method you choose

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

Answer:

(x, y, z) = (3, -1, -3)

Step-by-step explanation:

The attached graph shows a solution that involves solving the system of equations that results from substituting for z. The second equation is used to write an expression for z that is substituted into the first and third equations.

One of the things we observe in this solution is that substituting into the first equation effectively eliminates x and z, so we learn immediately that y=-1.

That is, subtracting the second equation from the first gives ...

(2x +8y +z) -(2x +y +z) = (-5) -(2)

7y = -7

y = -1

The solution by graphing is (x, y, z) = (3, -1, -3).

You might be interested in

Emma is saving to buy av video game console that costs$249. She already saved$60 and b plans to save$22 per week. After how many

Bess [88]

Let w represent the number of weeks Emma saves her money. Then we want to find w for
60 +22w ≥ 249
22w ≥ 189 . . . . . . . . . subtract 60
w ≥ 189/22 ≈ 8.591

Emma will have enough money after 9 weeks.

7 0

4 years ago

Read 2 more answers

The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 8.1 per hour. The prob

just olya [345]

Answer:

Value of a is 0.667

Step-by-step explanation:

We are given the following in the question:

The rate of customer at an airport follows a Poisson distribution with

$\lambda = 8.1$