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An equation.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
It means to find what numbers the variables (the letters) must be in order to make the equation a true statement.
It means to find what numbers the variables (the letters) must be in order to make the equation a true statement.
When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.
It is about finding a value of the variable (or variables) that make the equation a true statement.
The "answer" is a pair of two numbers ... a number for 'x' and a number for 'y' ... that make the equation a true statement. There are an infinite number of answers. You can pick any number out of the blue for 'x', and then use the equation to find out the 'y' that goes with it. Every pair you build this way is an 'answer' to the equation. If you draw the graph of this equation, you get a straight line with no ends. Every point on the line is an 'answer' to the equation, (and you can imagine how many points there are on a line with no ends).
There is no possible number that 't' could be that would make that equation a true statement. It has no answer.
any points along the line described by the equation x=anything will give you a vertical line on a graph
You made a statement. You said that [ 24/8 - 2 = 4 ] That statement is not true.
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.