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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.
What is an equation that is not true for any value of a variable?
linear equation in one variable
What is it called when you have to get the variable alone on one side of an equation?
It is to make the variable the subject of the equation.
What is the term for an equation with more than variable?
An equation with more than one variable is called a multivariate equation.
Can you solve a variable with an equation?
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.
How is solving a two step equation like solving one step equation?
the alikes of solving a one-step or two-step equation: in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign. The other alike is to have the number in front of the variable equal to one the variable does not always have to be x. These equations can use any letter as a variable.
How is solving an equation with a variable on each side similar to solving a two-step equation?
Solving an equation with a variable on each side is similar to solving a two-step equation in that both require isolating the variable to find its value. In both cases, you can use inverse operations, such as addition or subtraction, to eliminate terms on one side of the equation. Once you simplify both sides, you may need to perform additional steps to isolate the variable completely, whether it's moving variables or constants. Ultimately, both types of equations aim to achieve the same goal: determining the value of the variable.
Why do you isolate the variable on one side the the equation when solving a linear equation?
Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.
What does it mean when the result of solving a linear equation is x equals 0?
Solving a one variable linear equation involves getting the variable on one side of the equals sign by itself. To do this one uses the properties of numbers.
What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?
substitution
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 an equation with one or two variables?
When you solve a one-variable equation, your goal is to isolate the variable.To isolate the variable means to make it be alone on one side of the equals sign.In the equation shown here, you can isolate the variable by subtracting 9 from both sides of the equation and simplifying
What does one solution mean?
One solution means there is only one value or set of values for the variable(s) that satisfies the equation or system of equations. It is the point at which the graph of the equation intersects the x-axis, solving for the variable(s) in the equation.
When solving by the substitution method what happens when one variable cancels out?
That's exactly the purpose of the substitution method ... to get an equation with one less variable. When you have it, you solve it for the variable that's left.
Is The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation?
Yes, for solving simultaneous equations.
The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation? true or false?
True. The elimination method is a technique used in solving systems of equations where you can eliminate one variable by adding or subtracting equations. This simplifies the system, allowing for easier solving of the remaining variable. It is particularly effective when the coefficients of one variable are opposites or can be made to be opposites.
