Select the correct answer. 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

C. 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsSolving 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

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

Step 3: Solve for y

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

Step 4: Find difference

y = 3

x = 1

Subtract:                                                                                                          3 - 1 = 2

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