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
andrezito [222]
2 years ago
5

Which of the following is a solution of the system 2x + y = 9 and 3x + 5y = 19.​

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
4 0

2x+y=9

3x+5y=19

I will do this problem in 2 ways. I.)Substitution II.)Elimination

Solution I.) Substitution

We can subtract 2x from both sides in the first equation.

y=9-2x

Now we can substitute the y in the second equation with 9-2x

3x+5(9-2x)=19

-7x+45=19

-7x=-26

x=26/7

y=9-2(26/7)=11/7

Solution II.)Elimination

We can multiply both side of first equation by 5 to get a 5y in both equations.

10x+5y=45

Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.

(10x+5y)-(3x+5y)=45-19

7x=26

x=26/7

2*26/7+y=9

y=11/7

Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.

You might be interested in
makenzie earns 12.50 per hour being a lifeguard. how much will she earn in 5 days if she works 7 hours each day
TEA [102]
5(12.50 x 7) = 437.5

Explanation: you take the amount she makes for one hour (12.50), times it with the hours she works in a day (7), and then times it with how many days she works (5).
5 0
3 years ago
Don’t mind the work but can someone please help fast I’m stuck!! I also need to show work
balu736 [363]

Answer:

The answer for this problem is at the bottom of picture.

4 0
3 years ago
How was his payment
dmitriy555 [2]
Subtract off the down payment: 880 - 250 = 630

So he'll pay 630 over 8 equal payments
Divide: 630/8 = 78.75

His monthly payment is $78.75
7 0
3 years ago
A point charge q1 = 3.30nC is located on the x-axis at x= 1.90m , and a second point charge q2= -6.40 nC is on the y-axis at y=
Dahasolnce [82]

Answer:

Step-by-step explanation:

charge q1 is placed at x = 1.90 m and the charge q2 is placed at y = 1.15 m

here, the charge enclosed in a sphere is zero as the radius of sphere is 0.625 m which is less than the x = 1.90 m and y = 1.15 m. So by the Gauss's theorem,

\phi =\frac{q}{\epsilon _{0}}

where q is the charge enclosed, as the charge enclosed is zero so the electric flux is zero.

3 0
3 years ago
375 x 22<br><br> What is the answer and how do we get it
Novay_Z [31]

Answer:

375x22= 8,250

Step-by-step explanation:

use a calculator!

5 0
2 years ago
Other questions:
  • The desert temperature, H, oscillates daily between 30ºF at 4am and 70ºF at 4pm. Write a possible formula for H in terms of t, m
    10·1 answer
  • A small town wants to compare the number of students enrolled in public and private schools. The polynomials below show the enro
    5·1 answer
  • Please help it is due by the end of today<br> 20 pts it is easy
    9·1 answer
  • -4x + 7 for x=1. evaluate each expression for the given value of x.
    15·2 answers
  • This timeframe shows 5+8 Draw to make 10. then write the new fact
    15·1 answer
  • Determine the volume of the cylinder
    5·1 answer
  • Please help me and type out the answer
    12·2 answers
  • Nika rolls an 8-sided cube with faces numbered 1 through 8. Which of the following statements is true?
    10·1 answer
  • 7,652x5 please regroup I don’t understand :(
    10·2 answers
  • 3w-4z=8<br> 2w+3z=-6 solve
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!