{2x
x = -6y
12x + 12y = 0
Solve the system of equations.

The solution to the system of equations is:

Step-by-step explanation:

Given the system of equations

2x = -6y

12x + 12y = 0

solving the system of equations by elimination method

Arrange equation variables for elimination

Multiply 2x+6y = 0 by 6:   12x+36y=0

subtracting the equations

solve -24y=0 for y

divide both sides by -24

Simplify

For 12x+36y=0 plug in y = 0

Divide both sides by 12

Simplify

Therefore, the solution to the system of equations is:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: