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
Digiron [165]
3 years ago
13

The first equation of the system is multiplied by 2. By what number would you multiply the second

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Step-by-step explanation:

Given the equations

4x – 3y = 6              →   (1)

6x + 2y = 10             →   (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12               →  (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30              →  (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

--------------------

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.

You might be interested in
Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria
TiliK225 [7]

GIVEN

The following values are given:

\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

z=\frac{x-\mu}{\sigma}

For x = 9:

\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}

For x = 14:

\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}

The probability can be calculated as follows:

P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671

The probability is 0.4671.

8 0
1 year ago
Solve for z −cz+6z=tz+83
Alborosie

Answer: z=83/c - 7 + t

Step-by-step explanation:

6 0
3 years ago
Solve for<br> x: 5x-2x=7x+2x-24
NemiM [27]
5x-2x=7x+2x-24
3x = 9x -24
3x - 9x = -24
-6x = -24
   x = -24/-6
   x = 4
4 0
3 years ago
Which graph shows a rate of change of 1/2 which is a fraction between –4 and 0 on the x-axis?
irakobra [83]

By definition, we have that the average rate of change is given by:

AVR = \frac{y2-y1}{x2-x1}

Substituting values we have:

AVR = \frac{3-1}{0-(-4)}

Rewriting we have:

AVR = \frac{2}{0+4}

AVR = \frac{2}{4}

AVR = \frac{1}{2}

Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.

Answer:

graph shows a rate of change of 1/2 is the linear function

6 0
3 years ago
Read 2 more answers
What are ALL of the factors of 7? Mark ALL that Apply. 7,1,5,3,4,2
lesya692 [45]

Answer:

Just 1 and 7 I believe since it is a prime number :)

3 0
3 years ago
Other questions:
  • Add the following- 3/5,- 7/10and 4/15​
    12·1 answer
  • Jeremy rode his bicycle in a race. He averaged 15 mph and began the race 1 hour ahead of the other riders. The variable d repres
    9·2 answers
  • What is 
    7·2 answers
  • What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?
    9·1 answer
  • Martina filled 100 mL container with water. Simone field a 1.2 L container. How much water more water did Simone have her contai
    9·1 answer
  • Please help giving 10pts
    6·2 answers
  • -3 = 12y - 5(y-7)<br> How to do it
    11·2 answers
  • What is (f - g)(x)?
    13·1 answer
  • I need help ////////
    7·1 answer
  • What is the slope of the line passing through the points (7, 10) and (5, 16) ?<br> Thank you
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!