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
Slav-nsk [51]
3 years ago
6

Solve the system using substitution. y - 3x = 1 2y - x = 12 ([?], [])

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

(2, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y - 3x = 1

2y - x = 12

<u>Step 2: Rewrite Systems</u>

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
You might be interested in
Which of the following is not a factor of 9 ?
faltersainse [42]

Answer:

2, 4, 5, 6, 7, 8

Step-by-step explanation:

6 0
3 years ago
Write an expression that is equivalent to (4x + 9)
zalisa [80]
As this is already in its simplest form, I believe the only other expression is 4*X +9
4 0
3 years ago
Read 2 more answers
What is the final price including tax for the shoes?
Alchen [17]

Answer:

Step-by-step explanation:

$15 × 0.75 × 1.04 = $11.70

$25 × 0.75 × 1.04 = $19.50

$37 × 0.75 × 1.04 = $28.86

$65 × 0.75 × 1.04 = $50.70

3 0
3 years ago
Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?
KIM [24]
(-1,1.5) because you add both ys and both xs then divide by two to find the middle
8 0
3 years ago
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42-m-42-m squar
oee [108]

The area enclosed by the figure is 4533.48 square meters.

<u>Step-by-step explanation:</u>

Side length of the square = 42m

The semicircle is attached to each side of the square. So the diameter of the semicircle is the length of the square.

Radius of the semicircle = 21m

Area of the square = 42 x 42 = 1764 square meters

Area of 1 semicircle = π(21 x 21) /2

= (3.14) (441) /2

= 1384.74/2

= 692.37 square meters

Area of 4 semicircle = 4 x 692.37

= 2769.48 square meters

Total area = 1764 + 2769.48

= 4533.48 square meters

The area enclosed by the figure is 4533.48 square meters.

7 0
3 years ago
Other questions:
  • Is It a Function?
    13·1 answer
  • Find the unit rate
    13·1 answer
  • The Hawaii department of labor issued a press release at the beginning of 2011 stating that it projected "green jobs" (jobs rela
    9·2 answers
  • Use the distance formula in order to classify the to
    6·1 answer
  • Show coins to count back the change you would get if you bought candy for .12 cents and paid for it with a quarter. answer
    7·1 answer
  • Tom and lorna sat the same test. Tom scored 70% on the test. Lorna scored 29 out of 40 marks. Who got a higher score? Justify yo
    15·1 answer
  • Which sentence best defines parallel lines?
    12·2 answers
  • If a 64-gram serving of pasta contains 8 g of protein how many grams of protein are in a 454-gram box of pasta
    14·1 answer
  • Which of the following best describes the graphs below?
    14·1 answer
  • The value of a sculpture is increasing 5% every month. The original value of the sculpture is $6400. Identify the exponential gr
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!