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
spin [16.1K]
3 years ago
10

Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

(3, 14)

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = 6x - 4

y = 7x - 7

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [1st Equation]:                                                                           6x - 4 = 7x - 7
  2. [Subtraction Property of Equality] Subtract 7x on both sides:                       -x - 4 = -7
  3. [Addition Property of Equality] Add 4 on both sides:                                     -x = -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [2nd Equation]:                                                                         y = 7(3) - 7
  2. Multiply:                                                                                                             y = 21 - 7
  3. Subtract:                                                                                                             y = 14
You might be interested in
A fence is 695
Rasek [7]
Let the two parts with equal length have length x.
The longer part has length x + 20.

The sum of the three lengths is 695 m.

x + x + x + 20 = 695

3x + 20 = 695

3x = 675

x = 225

x + 20 = 245

The two short parts measure 225 m, and the long part measures 245 m.
5 0
3 years ago
A rectangle has perimeter 92 cm and length 39 cm. What is its width?
Alik [6]
The answer:
The width is 7cm
7 0
3 years ago
Read 2 more answers
Which of the following methods can be used to determine if a relation is a function?? Select all that apply.
CaHeK987 [17]

Answer:

B)  Write out the relation in an x-y table and check that each x-value corresponds to the only one x - value

8 0
3 years ago
What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?
jonny [76]

Answer:IT DEFINETLY SHOULD BE B

3 0
3 years ago
Read 2 more answers
I am just completely lost and am unsure of how to approach this problem.
Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒  12x = 48°

⇒  x = 4°

now,

∠CBD = 4x + 52°

          = 4(4°) + 52°

          = 68°

5 0
3 years ago
Other questions:
  • 8- 2 to the root of 4+8*2^3-(3+14-5)/12
    7·1 answer
  • N a chi-square test, the "expected" counts are the values we expect if there is an association between the variables.
    13·1 answer
  • A trader bought m apples for $12.
    7·1 answer
  • You receive two quarters, one dime, and four pennies back in change. Write the amount as a fraction in simplest form
    8·2 answers
  • 11x -24 = -2 algebra equation<br>​
    13·2 answers
  • What is the surface area of the pyramid? 3 6​
    12·1 answer
  • Which equation is NOT true? (Ratios)
    9·1 answer
  • Are the lines parallel, perpendicular, or neither ? 3y=-x 3x=y
    10·1 answer
  • Show the product -2• (-5) on the number line. Explain how you found your answer
    14·1 answer
  • Determine whether y varies directly with x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!