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Once you have come up with an answer to the solution you should return to the equation and make sure your answer satisfies it.?
After deriving a solution to the equation, it's crucial to substitute your answer back into the original equation to verify its validity. This step ensures that the solution not only fits within the mathematical framework but also satisfies all conditions outlined by the equation. If the substituted answer holds true, it confirms that your solution is correct; otherwise, further investigation is needed. Always double-checking your work helps to ensure accuracy in problem-solving.
How do you verify solution of matrices in 3x3 matrix?
To verify the solution of a 3x3 matrix equation, you can substitute the values obtained for the variables back into the original matrix equation. Multiply the coefficient matrix by the solution vector and check if the result matches the constant matrix. Additionally, you can use methods such as calculating the determinant or applying row reduction to confirm the consistency of the system. If both checks are satisfied, the solution is verified.
How do you solve log sub 9 parenthesis a over 27 closed parenthesis equals x minus 2?
Your equation has two variables in it ... 'a' and 'x'. So the solution is a four-step process: 1). Get another independent equation that relates the same two variables. 2). Solve one of the equations for one of the variables. 3). Substitute that into the other equation, yielding an equation in a single variable. Solve that one for the single variable. 4). Substitute that value back into the first equation, and solve it for the second variable.
How do you solve 2x 3y 12 5x - y 13?
To solve the equation (2x + 3y = 12) and (5x - y = 13), you can use the substitution or elimination method. First, express one variable in terms of the other from one equation, and substitute it into the second equation. For example, from the first equation, you can isolate (y) as (y = \frac{12 - 2x}{3}) and substitute this into the second equation to find (x). After finding (x), substitute it back to find (y).
What is substitution of 4x-3y equals 1 x-2y equals 4?
To solve this system of equations using substitution, we can isolate one variable in one equation and substitute it into the other equation. From the second equation, we can express x in terms of y as x = 4 + 2y. Then, substitute this expression for x into the first equation: 4(4 + 2y) - 3y = 1. Simplify this equation to solve for y. Once you find the value of y, substitute it back into x = 4 + 2y to find the corresponding value of x.
How do you determine whether a number is a solution of an equation?
Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.
Why is it possible to check the solution to any equation?
If you found the value of x that is a solution to an equation, you want to substitute that value back into the original equation, to check that it indeed satisfies the equation. If it does not satisfy the equation, then you made an error in your calculations, and you need to rework the problem.
How do you check the solution to an equation?
plug your solution back into the original equation and work it out again
Once you have come up with an answer to the solution you should return to the equation and make sure your answer satisfies it.?
After deriving a solution to the equation, it's crucial to substitute your answer back into the original equation to verify its validity. This step ensures that the solution not only fits within the mathematical framework but also satisfies all conditions outlined by the equation. If the substituted answer holds true, it confirms that your solution is correct; otherwise, further investigation is needed. Always double-checking your work helps to ensure accuracy in problem-solving.
How do you verify solution of matrices in 3x3 matrix?
To verify the solution of a 3x3 matrix equation, you can substitute the values obtained for the variables back into the original matrix equation. Multiply the coefficient matrix by the solution vector and check if the result matches the constant matrix. Additionally, you can use methods such as calculating the determinant or applying row reduction to confirm the consistency of the system. If both checks are satisfied, the solution is verified.
How do you solve log sub 9 parenthesis a over 27 closed parenthesis equals x minus 2?
Your equation has two variables in it ... 'a' and 'x'. So the solution is a four-step process: 1). Get another independent equation that relates the same two variables. 2). Solve one of the equations for one of the variables. 3). Substitute that into the other equation, yielding an equation in a single variable. Solve that one for the single variable. 4). Substitute that value back into the first equation, and solve it for the second variable.
How do you solve 2x 3y 12 5x - y 13?
To solve the equation (2x + 3y = 12) and (5x - y = 13), you can use the substitution or elimination method. First, express one variable in terms of the other from one equation, and substitute it into the second equation. For example, from the first equation, you can isolate (y) as (y = \frac{12 - 2x}{3}) and substitute this into the second equation to find (x). After finding (x), substitute it back to find (y).
What is a solution of a linear equation called?
Ordered Pair * * * * * An ordered SET. There can be only one, or even an infinite number of variables in a linear system.
What is substitution of 4x-3y equals 1 x-2y equals 4?
To solve this system of equations using substitution, we can isolate one variable in one equation and substitute it into the other equation. From the second equation, we can express x in terms of y as x = 4 + 2y. Then, substitute this expression for x into the first equation: 4(4 + 2y) - 3y = 1. Simplify this equation to solve for y. Once you find the value of y, substitute it back into x = 4 + 2y to find the corresponding value of x.
How do you check your solution with inequalities?
1) Replace the inequality signs in the solution and in the original question with = signs. Substitute the solution inn the question: it should make it true. 2) (Back to the inequalities) Pick another number that satisfies the solution inequality - e.g. if x>2, pick 5. Substitute this into the original inequality: if it makes it true, then you are good to go!
How do you solve system of eqaution by subsitution?
To solve a system of equations by substitution, first solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation. This will give you an equation with only one variable, which you can solve. Finally, substitute back to find the value of the other variable.
What are the steps to solve a whole number equaiton?
To solve a whole number equation, follow these steps: Simplify both sides of the equation by combining like terms. Use inverse operations to isolate the variable on one side of the equation. Perform the necessary operations to solve for the variable. Check your solution by substituting the value back into the original equation to ensure it satisfies the equation.
