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
WINSTONCH [101]
3 years ago
5

3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

3y = 11 - 2x → (1)

3x = y - 11 → (2)

Rearrange (2) expressing y in terms of x

add 11 to both sides

y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

9x + 33 = 11 - 2x ( add 2x to both sides )

11x + 33 = 11 ( subtract 33 from both sides )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) :  left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

right side = 5 - 11 = - 6 ⇒ left = right

solution = (- 2, 5 )



You might be interested in
2. An electronics store sold 1,500 CD's this year. The previous year, the store sold 990
Vera_Pavlovna [14]

Answer:

52%

Step-by-step explanation:

First, find the difference between this year's sales and the previous'. 1500-990=510.

Now we can divide 990 by 510 to find the percent increase. 510/990=0.515151515152, or 52%.

8 0
3 years ago
Read 2 more answers
An algebra book weighs 6 oz less
Mashcka [7]

Answer:

Algebra book weighs 24 oz

Grammar book weighs 15 oz

Step-by-step explanation:

algebra = x and grammar = y

x = 2y-6

5x = 8y

5(2y-6) = 8y

10y - 30 = 8y

2y - 30 = 0

2y = 30

y = 15

x = 2(15)-6

x = 30-6

x = 24

8 0
2 years ago
Ms. Shaw wants to go on vacation to Brazil the cost for one ticket is $985 if she goes with a group the ticket price is marked d
Vitek1552 [10]

Answer:

$837.25

Step-by-step explanation:

100%-> $985

1%->$9.85

15%->$9.85×15=$147.75

85%->$985-$147.75=$837.25

8 0
3 years ago
jerry deposits 80.00 into new savings account the account earns 3.5% simple interest per year no money is added or removed from
deff fn [24]

Answer:

$84.14

Step-by-step explanation:

Begin by multiplying 1.035 by 4.

Get 4.14.

Add this to the original amount deposited, $80.

The answer is $84.14

8 0
3 years ago
Graph and check to solve the linear system <br> x+y=3<br> -2x+y=-6
Alenkinab [10]

Answer:

-x - y = -3

-2x + y = -6

-3x = -9

x = 3

3 + y = 3

y = 0

(3,0)

6 0
2 years ago
Other questions:
  • Amanda has $5.15 in dimes and quarters. She has eight more quarters than dimes. How many quarters does she have?
    5·1 answer
  • Y + 2.13 = -9.74 I need help
    15·1 answer
  •   How much money will you have at the end of one year if interest is compounded semiannually at 10% on a $600 deposit?        A.
    5·2 answers
  • You want to rent movies online. The new service charges a sign up fee of
    7·2 answers
  • A damsel is in distress and is being
    12·2 answers
  • Please help me with this question.
    12·2 answers
  • 25 POINTS FOR FIRST ANSWER!!
    9·2 answers
  • Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total
    11·1 answer
  • What is the solution to 3/5x+2/3+x= 1/2-1/5
    7·1 answer
  • Anyone know how to find the area with the missing hypotenuse? Thank you!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!