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As it is written, x is the independent variable and y is the dependent.

But you could re-write it as

x = y/23 + 30/23 and then y is the independent variable and x the dependent.

Q: What is the dependent and independent variables for y equals 23x plus 30?

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You need three independent equations to solve for three unknown variables.

To solve for 2 unknown variables you need 2 independent equations. You have only 1.

-5

To solve for 2 unknown variables you need at least 2 independent equations. You have only 1.

y=a+bx so the slope is b

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You need three independent equations to solve for three unknown variables.

To solve for two unknown variables (x and y) you require two independent equations,

To solve for 2 unknown variables you need 2 independent equations. You have only 1.

To solve for 2 unknown variables you need 2 independent equations. You have only 1.

Total Cost (T) = Fixed Cost (F) plus Variable Cost (V) or T = F + V. The dependent variable is T because as F & V change, T depends on the values of F & V. The independent variables (plural; two) are F & V. F and V change independent of T. You can also think of the above as cause (independent) and effect (dependent). The cause of F & V changing has the effect of T changing. So, in the above equation, there are two independent variables; F & V.

To solve for 3 unknown variables you need 3 independent equations. You have only 1.

To solve for 2 unknown variables you need 2 independent equations. You have only 1.

-5

To solve for 2 unknown variables you need at least 2 independent equations. You have only 1.

Two independent equations are required to solve for two unknown variables, x and y.

y=a+bx so the slope is b

A single linear equation in two variables cannot be solved: you need two independent equations.