Try substituting any two values in for y in this equation and think about what you find. The correct answer is: There are an infinite number of solutions to the equation. Try substituting any value in for y in this equation and think about what you find. How many solutions are there for the equation:Ĭ) There are an infinite number of solutions. The correct answer is: There is no solution to the equation. If you substitute some real numbers into the equation, you will see that they do not satisfy the equation. In this case, though, there is not a mistake in the algebra. A false statement like this looks like a mistake and it’s always good to check the answer. Whenever you end up with a false statement like −10 = 10 it means there is no solution to the equation.Ĭ) You must have made a mistake in solving the equation. The correct answer is: There is no solution to the equation.ī) There is no solution to the equation. If you substitute 10 for x in the original equation, you get 10 = 30. If you substitute −10 into the original equation, you get −30 = −10. Any solution to an equation must satisfy the equation. This is because there is truly no solution-there are no values for x that will make the equation 12 + 2 x – 8 = 7 x + 5 – 5 x true. If you substitute these values into the original equation, you’ll see that they do not satisfy the equation. “No solution” means that there is no value, not even 0, which would satisfy the equation.Īlso, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”.īe careful that you do not confuse the solution x = 0 with “no solution”. If you multiply a number by 2 and add 4 you would never get the same answer as when you multiply that same number by 2 and add 5. This may make sense when you consider the second line in the solution where like terms were combined. Solving for x the way you know how, you arrive at the false statement 4 = 5. This is not a solution! You did not find a value for x. Isolate the x term by subtracting 2 x from both sides. Combine like terms on both sides of the equation.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |