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Solving inequalities and equations are the same because both have variables in the equation.
A linear system is a set of equations where each equation is linear, meaning it involves variables raised to the power of 1. Solving a linear system involves finding values for the variables that satisfy all the equations simultaneously. This process is used to find solutions to equations with multiple variables by determining where the equations intersect or overlap.
The main goal is to find a set of values for the variables for which all the equations are true.
Solving the equation.
It is about finding a value of the variable (or variables) that make the equation a true statement.
There are too many to list. In algebra, there is factoring, graphing, solving equations of 1 variable, solving equations of 2 variables, all operations with variables (addition, subtraction, mult, div, exponentials, etc) and more. And that is just algebra.
Solving equations and inequalities both involve finding the values of variables that satisfy a given mathematical statement. In both cases, you apply similar algebraic techniques, such as adding, subtracting, multiplying, or dividing both sides of the equation or inequality. However, while equations have a specific solution, inequalities can have a range of solutions. Additionally, when multiplying or dividing by a negative number in inequalities, the direction of the inequality sign must be reversed, which is a key difference from solving equations.
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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.
you need 2 equations to solve for 2 variables
Standard form for equations of two variables is preferred when solving the system using elimination.
b=.20[100,000-.40(100,000-b)]