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
kondaur [170]
3 years ago
15

How do I solve 2x+3y=7, x-y=1

Mathematics
2 answers:
Fittoniya [83]3 years ago
5 0
<span>2x+3y=7
x-y=1

</span>2x+3y=7
x=1+y

2*(1+y)+3y=7
x=1+y

2+2y+3y=7
x=1+y

5y=5       |(:5)
x=1+y

y=1
x=2

CHECK:
2x+3y=7
x-y=1

2*2 + 3*1 = 7     

x-y = 1
2-1 = 1

riadik2000 [5.3K]3 years ago
4 0
2x+3y=7                                               
2(2)+3y=7                                                                                              
4+3y=7
subtract 4 from both sides                  
3y=3                                             
divide both side by 3                          
y=1
 
2x+3y=7
2x+3=7
2x+3y=7
subtract 3y from both sides
2x=7-3y
divide both side by 2
x=3.5-1.5
x=2                                     

then you do the x-y=1

x-y=1
2-1=1
1=1

in the end both answers are 1 so that means that i did it right. that means that x=2 and y=1
You might be interested in
Factor the expression completely over the complex numbers. y^4+24y^2+144
Svetllana [295]

25y^6 +144

I think this is right :)

6 0
3 years ago
Read 2 more answers
20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
2 years ago
Tracy's gross pay is $748.25. Her deductions amount to $234.56. What is
Romashka-Z-Leto [24]

Answer:

513.69

Step-by-step explanation:

^^^^

Subtract 748.25 by 234.56 and you get

5 0
2 years ago
Arianna has $27 that she can spend on ponytail holders each pack of black ponytail holders cost $3.75 and braided ponytail holde
Gennadij [26K]

Answer:

27=3.75x+6x, hope this helps

5 0
3 years ago
Dont trust breekall indian hacker/and help please
ollegr [7]

Answer:

ok....

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the best estimate
    10·1 answer
  • Write 4.257x10^-7 in standard form.
    7·2 answers
  • Suppose that past history shows that 60% of college students prefer brand c cola. a sample of 5 students is to be selected. base
    5·1 answer
  • The sum of two numbers is 48 and the difference is 4. what are the numbers?​
    10·1 answer
  • Based on the box-and-whisker plot shown below, match each term with the correct value.
    13·1 answer
  • 37 is ____ % of 148; 148 is ____ % of 37
    13·2 answers
  • M over 4 = -13 what does m =?....?
    7·2 answers
  • What does how many more mean
    6·1 answer
  • Can you help me fast ???​
    15·1 answer
  • The graph of a function h is shown below.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!