y=3x+7
7x +3y=63
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Given a value for the variable x, you find (calculate) the corresponding value of y. These (x, y) pairs are part of the table. You cannot complete the table because there are infinitely many possible values of x.
That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.
The solution of a system of linear equations is a pair of values that make both of the equations true.
The main goal is to find a set of values for the variables for which all the equations are true.
Addition and subtraction are mathematical processes. They can be used in equations, which are statements that the values of two mathematical expressions are equal, but they are not equations by themselves.