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Solving Equations by Plugging in Values A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.
To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set. That set is your answer!
A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14. The solution set of y2 + 6 = 5y is {2, 3} because 22 + 6 = 5(2) and 32 + 6 = 5(3).
To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set. That set is your answer!
Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Evaluate the left-hand side expression at the given value to get a number. Evaluate the right-hand side expression at the given value to get a number. See if the numbers match.
A real number x will be called a solution or a root if it satisfies the equation, meaning. It is easy to see that the roots are exactly the x-intercepts of the quadratic function, that is the intersection between the graph of the quadratic function with the x-axis.
An algebraic solution or solution in radicals is a closed-form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction ...
In general, if we have an equation that has just one variable, such as x, then “solving the equation” means finding the set of all values that can be substituted for the one variable to produce a valid equation.
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