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The details depend on the type of equation you want to solve. A typical algebra textbook can teach you the details. But briefly, in the simplest cases at least, you basically want to "isolate" a variable, eliminating anything that is NOT the variable. And anything you do on one side of the variable, you need to do on the other side as well. Here is an example:2x + 1 = 15
Since the idea is to have "x" alone on one side, first you might want to get rid of the 1. Subtract one on each side, to get:
2x = 14
Next, to get rid of the 2, you divide both sides by 2, with the result:
x = 7
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What is a method for solving a system of linear equations in which you multiply one or both equations by a number to get rid of a variable term?
It is called solving by elimination.
How does solving a literal equation differ from solving a linear equation?
Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.
What is the goal of solving equations?
you want to isolate the variable(s) on one side and the constant or number on the other side.
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
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.
