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Will an equation with an integer coefficient always have an integer solution?
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.
Does an equation with an integer coefficient always have an integer solution?
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (2x + 3 = 5) has the integer solution (x = 1), but the equation (x^2 + 1 = 0) has no real solutions, let alone integer ones. The existence of integer solutions depends on the specific form and constraints of the equation.
Which identifies all the integer solutions of x equals 14?
The equation ( x = 14 ) identifies a single integer solution, which is ( x = 14 ) itself. Since the equation specifies that ( x ) is equal to 14, there are no other integer solutions. Therefore, the only integer solution is ( {14} ).
What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
What equation is a integer?
An integer is not an equation, but rather a counting number.
Will an equation with an integer coefficient always have an integer solution?
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (x + 1 = 2) has an integer solution, (x = 1), but the equation (2x + 3 = 1) has no integer solution since (x = -1) is not an integer. Solutions depend on the specific equation and its constraints, and rational or real solutions may exist instead.
Does an equation with an integer coefficient always have an integer solution?
No, an equation with integer coefficients does not always have an integer solution. For example, the equation (2x + 3 = 5) has the integer solution (x = 1), but the equation (x^2 + 1 = 0) has no real solutions, let alone integer ones. The existence of integer solutions depends on the specific form and constraints of the equation.
Which identifies all the integer solutions of x equals 14?
The equation ( x = 14 ) identifies a single integer solution, which is ( x = 14 ) itself. Since the equation specifies that ( x ) is equal to 14, there are no other integer solutions. Therefore, the only integer solution is ( {14} ).
What is the smallest integer solution of 17?
17 is not an equation and so there can be no "solution of 17". There is, therefore, no possible answer to the question.
How do you check the solution to an equation?
plug your solution back into the original equation and work it out again
How can the reflexive property be applied to check the accuracy of a solution to an equation?
how can the reflexive property be applied to check the accuracy of a solution to equation?
How do you check a solution to an equation?
By substitution.
What is the word for a number that makes an equation true?
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
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.
What equation is a integer?
An integer is not an equation, but rather a counting number.
How do you check to see if the value of the variable is a solution to the equation?
Substitute that value in the equation, and then check to see if the resulting statement is TRUE.
