The input that would give an output value of -1/3 is 19
What is a linear equation?
A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the input of the system?
The table of values that completes the question is added as an attachment
A system of linear equations is a collection of at least two linear equations.
In this case, the linear equation is given as
y = -1/3x + 7
From the complete question, the output value is given as:
y = 2/3
Substitute y = 2/3 in y = -1/3x + 7
2/3 = -1/3 * x + 7
Subtract 7 from both sides of the equation
-1/3 * x = 2/3 - 7
Take the LCM
-1/3 * x = (2 - 7 * 3)/3
Evaluate the product
-1/3 * x = (2 - 21)/3
Evaluate the difference
-1/3 * x = -19/3
Multiply both sides by -3
x = 19
Hence, the input that would give an output value of -1/3 is 19
Read more about linear equations at:
https://brainly.com/question/14323743
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