1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Westkost [7]
3 years ago
14

Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

-

3x-3y=21

subtract equation 2 from equation 1

0+6y=-30

6y=-30

y=-30/6

y=-5

substitute the value of y in equation 1

3x+3y=-9

3x+3(-5)=-9

3x-15=-9

3x=-9+15

3x=6

x=6/3

x=2

You might be interested in
Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z
kompoz [17]

a.

f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}

is a proper joint density function if, over its support, f is non-negative and the integral of f is 1. The first condition is easily met as long as C\ge0. To meet the second condition, we require

\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}

b. Find the marginal joint density of X and Y by integrating the joint density with respect to z:

f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz

\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}

Then

\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy

\approx\boxed{0.12886}

c. This probability can be found by simply integrating the joint density:

\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz

\approx\boxed{0.012262}

7 0
3 years ago
Please help me in number 3please!
satela [25.4K]

For the circumference, you actually multiply by 20 because of the formula πd = C [OR 2πr = C]. You meant to double the radius.

4 0
3 years ago
Write the equation of a line that is parallel to the y axis and passes through the point (-2,5).
dybincka [34]

Answer:

x = -2

Step-by-step explanation:

If it’s parallel to the y-axis, it must be an x value that is straight up and down. The x coordinate here is -2 so the line must be vertical from -2 on the x-axis.

3 0
3 years ago
suppose the cost of renting a scooter varies directly with the number of hours. It costs $37.50 to rent a scooter for 5 hours. a
Mademuasel [1]
Y = (37.50/5)x
y = 7.50x

Graph: Since the graph will start at the origin (0,0) and has a constant rate of $7.50 per hour, the graph will be linear and in proportion. Some cooridinate are as follows:


x:   0     1      2        3        4        5 ....(add 1...)
y: 7.5   15   22.5    30   37.50    45....(add 7.50...)
8 0
3 years ago
Read 2 more answers
What does A=P+PRT for T? solve for T? mean
Sholpan [36]
A=P+PRT\\
PRT=A-P\\
T=\frac{A-P}{PR}
6 0
3 years ago
Other questions:
  • Please help me find the measure of the arc
    10·1 answer
  • Hannah buys 3 packs of 36 exposure film and 2 packs of 24 exposure film. She uses 8 rolls of film. How many rolls does she have
    10·1 answer
  • Study the number line shown. Match the question with the correct letter on the number line.
    5·1 answer
  • Choose the number that is 1/4 of 1/2 of 1/5 of 200:
    14·1 answer
  • You purchase 13 pumpkins for $80.50. Small pumpkins cost $3.50. Large pumpkins cost $7. How many of each did you buy?
    14·1 answer
  • Need help again lol ...
    9·1 answer
  • A triangle ABC is inscribed in the circle, (ABC = 65° and AB=AC. Find (BDC.
    7·1 answer
  • HELP!! I WILL GIVE FREE BRAINLIEST TO THE FIRST CORRECT ANWSER!
    14·2 answers
  • Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 ho
    7·1 answer
  • Please explain how to solve this step by step.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!