Which of the following is the solution to the system of linear equations
x=2y + 5 x/3-y=4/3

(7, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x = 2y + 5

x/3 - y = 4/3

Step 2: Solve for y

Substitute:                              (2y + 5)/3 - y = 4/3Multiply 3 on both sides:       2y + 5 - 3y = 4Combine like terms:               -y + 5 = 4Isolate y term:                         -y = -1Isolate y:                                  y = 1

Step 3: Solve for x

Define:                    x = 2y + 5Substitute:              x = 2(1) + 5Multiply:                  x = 2 + 5Add:                        x = 7

And we have our final answer!

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