isolate the variable
No, you can only simplify an expression. To solve for a variable, it must be in an equation.
When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.
each of the four regions created on the coordinate plane by the x- and y-axes.
A single element in a mathematical equation is known as a variable. In algebra, a variable is usually a letter, like "X" or "Y," that is solved for.
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
This are variable introduce into equation as well as to inequality where a surplus variable is introduced.
To substitute an inequality in an equation, first identify the variable in the equation that you want to replace. Then, use the inequality to express that variable in terms of others, ensuring the substitution maintains the relationship dictated by the inequality. It’s important to remember that inequalities can change the nature of the solution set; for instance, if you substitute a variable with an inequality, the resulting equation may have a range of solutions rather than a single value. Finally, solve the equation as usual but consider the implications of the inequality in your final results.
Slack variable is a variable that is added to a constraint to switch form an inequality to equatlity equation.
No, you can only simplify an expression. To solve for a variable, it must be in an equation.
When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.
To isolate a variable in an equation or inequality, you need to perform inverse operations to both sides. Start by eliminating any constants added or subtracted from the variable, followed by dividing or multiplying to remove coefficients. Ensure to maintain the equality or inequality by performing the same operations on both sides. Finally, simplify the expression to get the variable alone on one side.
each of the four regions created on the coordinate plane by the x- and y-axes.
A single element in a mathematical equation is known as a variable. In algebra, a variable is usually a letter, like "X" or "Y," that is solved for.
To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.