linear combination do now

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What is a linear combination of variables?

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A linear combination of variables is an expression formed by multiplying each variable by a constant and adding the results together. For example, in the expression 2q + 3d, 2 and 3 are constants, and q and d are variables.

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What does it mean to eliminate a variable in a system of equations?

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Eliminating a variable means manipulating the equations in such a way that one of the variables is removed, allowing for easier solving of the remaining equation.

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What is the first step in solving a system of equations?

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The first step is to express one variable in terms of the other, or to prepare the equations for elimination or substitution.

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How do you check if your solution to a system of equations is correct?

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To check if your solution is correct, substitute the values of the variables back into the original equations to see if they satisfy both equations.

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What is the purpose of adding or subtracting equations in a system?

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Adding or subtracting equations can help eliminate one of the variables, making it easier to solve for the remaining variable.

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What is the result of adding -45 and -27?

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The result is -72.

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It represents a linear equation in two variables, q and d, where the relationship between the variables is defined.

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What is the significance of the coefficients in a linear equation?

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.