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What is the difference of the values of the two variables in this system of equations?
y=2x+1
x+3y= 10
OA. 0
OB. 1
Ос.
2
OD. 3

Select The Correct Answer What Is The Difference Of The Values Of The Two Variables In This System Of Equations Y2x1 X3y 10 OA 0 OB 1 Ос 2 OD 3 class=

Sagot :

Space

Answer:

C. 2

General Formulas and Concepts:

Pre-Algebra

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

Algebra I

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 1

x + 3y = 10

Step 2: Solve for x

Substitution

  1. Substitute in y:                                                                                                 x + 3(2x + 1) = 10
  2. Distribute 3:                                                                                                      x + 6x + 3 = 10
  3. Combine like terms:                                                                                       7x + 3 = 10
  4. [Subtraction Property of Equality] Subtract 3 on both sides:                      7x = 7
  5. [Division Property of Equality] Divide 7 on both sides:                                x = 1

Step 3: Solve for y

  1. Define original equation:                                                                               y = 2x + 1
  2. Substitute in x:                                                                                                y = 2(1) + 1
  3. Multiply:                                                                                                           y = 2 + 1
  4. Add:                                                                                                                 y = 3

Step 4: Find difference

y = 3

x = 1

  1. Subtract:                                                                                                          3 - 1 = 2
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