How do you know if an equation has no solution?
Summary. Normally when solving problems you end up with something at the end saying, x= [some number]. When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one.
Considering that fact, how do you know if a system of equations has no solution?If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Keeping this in mind what makes an equation no solution?The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. This is because there is truly no solution - there are no values for x that will make the equation 12 + 2x – 8 = 7x + 5 – 5x true.
In the same way how do you know if an equation has one solution?solve the equation. If you end up with the variable equal to a number it's one solution, if you end up with a number equal to itself it's an identity and there are infinite solutions and if you end up with a false statement then there is no solution.
Do you have your own answer or clarification?
Related questions and answers
The division rest of 0 by 3 equals 0, and the value of the quotient is 0.
1. Siri doesn't understand jokes and can use personal data against you. The criminal was quickly found thanks to the data kept on the Apple server. Anything that you say to Siri might be used against you.
1/3 x 100 = 33.33 Which means that our answer of 33.33 is 33.33 percent of 100.
0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method. We use limits (calculus) to determine this finite value. But we can't just substitute and get an answer.
0 divided by 3 is 0. In general, to find a ÷ b, we need to find the number of times b fits into a.
0 divided by 3 is 0.
When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. We see this is a false statement because 20 does not equal 5. So, we say this problem has no solution.
A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system. The row of 0's only means that one of the original equations was redundant. The solution set would be exactly the same if it were removed.
Answer: (0,0) is not a solution of the given system.
When the equation are similar or same in the system of linear equations. The given system of linear equations have infinitely many solution. Hence, the system of linear equations have infinitely many solution.
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What will happen if we talk to an iPhone's Siri at 3am? Siri will answer. Siri doesn't have a 9 to 5 job. Siri doesn't sleep, he/she is awake 24x7.
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
If you ask Siri this question in the iOS 8 operating system, the iPhone's virtual assistant will cleverly tell you that you're making no sense. “Imagine that you have zero cookies,” Siri's response begins, “and you split them evenly among zero friends.
What does 0 = 0 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line.
20 divided by 3 equals 6 with a remainder of 2 (20 / 3 = 6 R. 2).
Division as the inverse of multiplication But any number multiplied by 0 is 0 and so there is no number that solves the equation.
If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.
If you tell Siri 000 then she will immediately make you connected with emergency service but the whole procedure will take 5 minutes and you can consider that 5 minutes as grace time. In the meantime, you can terminate the call and you can try it because of the grace time only.
2 Answers. If you end with 0=0 , then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.
“What is zero divided by zero?” If you ask Siri this question in the iOS 8 operating system, the iPhone's virtual assistant will cleverly tell you that you're making no sense. “Imagine that you have zero cookies,” Siri's response begins, “and you split them evenly among zero friends.
In reality, the hack doesn't work and if you do tell Siri “17,” you will unwittingly be calling for emergency services. According to the Siri user guide, iPhones automatically call the local emergency number no matter what emergency number you say.
The quotient (integer division) of 100/3 equals 33; the remainder (“left over”) is 1.
Well, no, probably not, but if you ask Siri to "charge my phone 100 percent" then it automatically starts calling the emergency services, giving you a 5-second window to cancel the call. Asking a kidnapper if you can charge your phone with some weird passphrase is pretty innocuous by comparison.
For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.