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
elixir [45]
4 years ago
5

Solve the linear system using substitution

Mathematics
1 answer:
levacccp [35]4 years ago
7 0
Hello there!

3x - y = 3
-x + y = 3

We need to solve 3x - y = 3 for y

Let start by adding -3x to both sides

3x - y = 3

3x - 3x - y = 3 - 3x

-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1

-y * -1= (3 - 3x)-1

y = 3x - 3

Substitute 3x -3 for y in -x+y=3

-x + y = 3

-x + 3x - 3 = 3

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

Now substitute 3 for x in y=3x -3

y = 3x - 3

y = 3(3) - 3

y= 9 - 3

y= 6

Thus,

The answer is x=3 and y=6

It is always my pleasure to help students like you :)

As always, I am here to help!


You might be interested in
What is the answer to (4x10)x10
marishachu [46]
4X10=40X10=400 PEMDAS
3 0
3 years ago
Read 2 more answers
Find the perimeter of the parallelogram shown. PLEASE HELP
Andreyy89

Answer:

46

Step-by-step explanation:

for perimeter just add up the side

9+14+9+14  or  9+14 = 23  then 23* 2 =46

5 0
2 years ago
20 points help ASAP please and thank you
pashok25 [27]

73 is the answer I Hope dis help you

8 0
4 years ago
Read 2 more answers
ohn is interested in purchasing a multi-office building containing five offices. The current owner provides the following probab
Galina-37 [17]

Answer:

$28,875

Step-by-step explanation:

The given table is:

\left|\begin{array}{c|cccccc}$Number of Lease Offices&0&1&2&3&4&5\\$Probability&5/32&3/16&3/32&1/4&9/32&1/32\end{array}\right|

The expected probability is derived using the formula: \sum_{i=0}^{5}x_iP(x_i)

Therefore, for the given distribution,

Expected Probability

=(0*\frac{5}{32})+ (1*\frac{3}{16})+ (2*\frac{3}{32})+ (3*\frac{1}{4})+ (4*\frac{9}{32})+ (5*\frac{1}{32})\\=2.40625

If each yearly lease is $12,000

The Expected Yearly Lease for the Whole Building=2.40625 X 12000

=$28,875

4 0
3 years ago
If there are 40 boys and 20 girls in a room, fill out all possible ratios of boys to girls that could be made.
marysya [2.9K]

Answer:


Step-by-step explanation:

A ratio compares two quantities in terms of multiplication. For example, suppose that there are 10 boys and 15 girls in a classroom. One way, not using ratios, to compare these quantities would be to say that there are 5 more girls than boys in the classroom. To employ a ratio, we say that the ratio of boys to girls is 10 to 15, or 2 to 3. In other words, for every 2 boys in the classroom, there are 3 girls.


In your case, for every 40 boys, there are 20 girls. if we simplify this all the way down, we can get 2 to 1.

All of the following are ratios that apply to your question:

40 to 20

20 to 10

10 to 5

4 to 2

2 to 1

I hope I helped you out! <3

7 0
4 years ago
Read 2 more answers
Other questions:
  • (4x^3 + 10x^2 +14x +3) / (2x+3)
    14·2 answers
  • Is 3/8 greater than less than or equal to 3/4
    14·1 answer
  • Find the area of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
    8·1 answer
  • Factor completely.<br> ​ <br> 18b−32<br> ​<br> Enter your answer in the boxes.<br><br> ___(___)
    13·2 answers
  • 4(-8x + 5) = -32x - 26<br> A: no solution<br> B: 54<br> C: all real numbers<br> D: -54
    6·2 answers
  • The sum of three consecutive odd numbers is 165.<br>What is the smallest of the three numbers ?​
    8·1 answer
  • What is the midpoint of the line segment With end points 0,4 and -4,-6?
    11·1 answer
  • Find the perimeter of a rectangular frame with sides of 4x - 1 and 6x +5
    5·2 answers
  • Complete the following sentence.<br><br> If x is to 9 as 8 is to 12, then x is equal to ?
    9·2 answers
  • The graph bellow is the solution for which set of inequalities ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!