(help much needed)
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The input that would give an output value of -1/3 is 19
<h3>What is a linear equation?</h3>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
<h3>How to determine the input of the system?</h3>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
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