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
enot [183]
3 years ago
9

Solve using linear combination. 8x+14y=4 -6x-7y+-10

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

It's best to write the two equations as a vertical column:

8x+14y=4

-6x-7y = -10

Note that if we multiply the 2nd equation by 2, we get -12x - 14y = -20. The reason for wanting this version of the 2nd equation is that its -14y cancels the +14y in the first equation:

-12x - 14y = -20

8x+14y=4

Combine these equations, column by column. We get -4x = -16, which results in x = 4. Now find y by subbing 4 for x in either given equation. If we use the first equation, we get 8(4) + 14y = 4, or 32 + 14y = 4, or 14y = -28. Then y = -2.

The solution to this system of linear equations is thus (4,-2).

Check this result by substitution of these coordinates into -6(4) - 7y = -20:

-24 - 7(-2) = -10. Is this true or not?

-24 + 14 = -10 is true. Thus, (4,-2) is the desired solution.

You might be interested in
A vase contains r roses and 6 tulips. Write two equivalent expression for the total number of flowers in the vase.
In-s [12.5K]
R+6=s s=6+r That is your equations.
5 0
3 years ago
Which fractions are equivalent to 40%? Check all that apply.
Tanya [424]

Answer:

8/20, 4/10, and 16/40

Step-by-step explanation:

40% is basically 40/100.

40/100=4/10=8/20=16/40

hope this helps!! :))

7 0
2 years ago
Read 2 more answers
The Bar Chart shows the weights of 10 dogs entered in a local dog show,
hammer [34]
Is there any picture ?
7 0
3 years ago
The measure of<ABC is 102°, find the measure of <DBC
mylen [45]
Yes you are right because will be 102 - 52 = 50 degrees 
4 0
3 years ago
3) Which point is located at (6, 3)?<br><br>A <br>B <br>C <br>D​
maks197457 [2]

Answer:

C

Step-by-step explanation:

because its at 6,3

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which has the greater value 0.3 or 1/3
    10·2 answers
  • How many possible outcomes would there be if three coins were each tossed once?
    14·1 answer
  • The equation is ax+r=7 <br><br>how do I solve for r??
    10·2 answers
  • An insurance company is interested in conducting a study to to estimate the population proportion of teenagers who obtain a driv
    10·1 answer
  • The local grocery store sells a bag of dog food for $22. The store pays $13 for the dog food which equation can be used to find
    10·1 answer
  • Which is the equation of this best line of fit?
    12·1 answer
  • In 6 and 7, Find the missing indicated value.
    14·1 answer
  • Find the distance between two points <br> (4,6) and (4,-2)
    12·1 answer
  • Which expression is equal to 8.89? *
    12·1 answer
  • Please help!!! Will give 20 points if right! Need ASAP!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!