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
navik [9.2K]
2 years ago
10

Solve the simultaneous equations x + 6y = 20 x + 3y = 14 x = Y=

Mathematics
2 answers:
antoniya [11.8K]2 years ago
7 0

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the <u>ordered</u><u> </u><u>pair</u> (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given <u>order</u><u>ed</u><u> </u><u>pair</u> is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the <u>ordere</u><u>d</u><u> </u><u>pair</u> is the solution of the system

(x,y)=(8,2)

xxTIMURxx [149]2 years ago
6 0

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

You might be interested in
Denise spent 45.24 for 3 pairs of shoes. What was the average cost per pair?
dolphi86 [110]
$15.08 because $45.24 ÷ 3
7 0
3 years ago
Isabella backed cookies for 3 hours. She spent the same amount of time baking each batch. It took her one eighth an hour to bake
katovenus [111]

I believe it is 24 batches:

because there are 8/8 in one hour, so you multiply that by three. which would give you 24!

5 0
3 years ago
15 children voted for their favorite color. The votes for red and blue together we're double the votes for green and yellow toge
Artist 52 [7]
10 for red and blue together and 5 for green and yellow together
3 0
3 years ago
Read 2 more answers
Select the correct answer.
Firlakuza [10]

Answer:

the

• the population of the first germ is represented by the function a(x) = (1. 3)+9

5 0
2 years ago
The sum of three numbers is 92. The second number is 2 times the third. The first number is 8 less than the third. What are the
Crazy boy [7]

Answer:

1) 17

2) 50

3) 25

17 + 50 + 25 = 92

Step-by-step explanation:

1) x - 8

2) 2x

3) x

x - 8 + 2x + x = 92

4x = 92+8

x = 100/4

x = 25

6 0
3 years ago
Other questions:
  • Solve x2 + 8x − 3 = 0 using the completing-the-square method
    7·1 answer
  • Find the area of the shaded region. Round your answer to the nearest tenth.
    7·1 answer
  • Syma will spend more than $32 on gifts. So far, she has spent $15 . What are the possible additional amounts she will spend? Use
    15·1 answer
  • Mr . Ellis drove 197 miles on Monday and 168 on Tuesday how many miles did he drive in all
    9·2 answers
  • Two right triangles that are not similar still may have one congruent acute angle in common
    8·2 answers
  • If b = 7, what is the value of the expression 2(10 – b)?
    5·2 answers
  • Ok offering the brainiest and 20 point to who ever can solves these question. The answers I marked were wrong.
    8·1 answer
  • What is the value of x?
    5·2 answers
  • Find The volume of a cilinder
    15·1 answer
  • 2|x-4|-7 is less than or equal to 1
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!