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An equation is a statement. If it includes a variable, then it's only true for certain values
of the variable and false for all others, and to "solve" it means to find those values.
An equation without variables is also a statement. Either the statement is true
or else it isn't. If the statement isn't true, then it's not an equation. Either way,
it was nice of someone to hand it to you, but there's nothing that needs to be
done with it. It asks no question, poses no problem, and seeks no solution.
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How doI solve system of equations by substitution?
Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
What does it mean to solve a system of linear equations?
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
How do you solve radical equations with variables on both sides?
First, get the radical by itself. Then, square both sides of the equation. Then just solve the rest.
What is usually the first step in solving a system of equation by substitution?
The first step is to solve one of the equations for one of the variables. This is then substituted into the other equation or equations.
What does it mean to solve a system?
Finding a set of value for the set of variables so that, when these values are substituted for the corresponding variables, all the equations in the system are true statements.
