What is it called when you get 0 0?
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.
Does 0 0 mean all real numbers?
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….
Should I use substitution or elimination?
Substitution is best used when one (or both) of the equations is already solved for one of the variables. Elimination is best used when both equations are in standard form (Ax + By = C). Elimination is also the best method to use if all of the variables have a coefficient other than 1….
What is an equation that has no solution?
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.
What does infinite solution look like on a graph?
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
How do you solve by substitution?
Here’s how it goes:
- Step 1: Solve one of the equations for one of the variables. Let’s solve the first equation for y:
- Step 2: Substitute that equation into the other equation, and solve for x.
- Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.
Can a linear equation equal 0?
A linear function can have none, one, or infinitely many zeros. If the function is a horizontal line ( slope = 0 ), it will have no zeros unless its equation is y=0 , in which case it will have infinitely many. If the line is non-horizontal, it will have one zero.
What’s the point of linear algebra?
Linear algebra is vital in multiple areas of science in general. Because linear equations are so easy to solve, practically every area of modern science contains models where equations are approximated by linear equations (using Taylor expansion arguments) and solving for the system helps the theory develop….
How do you know if an equation has infinite solutions?
When a problem has infinite solutions, you’ll end up with a statement that’s true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. Therefore we can conclude that the problem has infinite solutions. You can solve this as you would any other equation.
How difficult is linear algebra?
Conceptually it’s very hard, but the mechanics aren’t hard. Linear Algebra is very different from any other math you will have encountered up to this point. Getting your mind around the geometric basis of everything isn’t easy. It is actually some of the only higher level math I have used in industry.
How do you know when an elimination problem has no solution?
Whether we are using substitution or elimination, both variables will drop out of the equation and only numbers will remain. If the result is an equation that is impossible such as 3=5. This indicates that the system has no solution.
What if an equation is 0 0?
0/0 is infinite. If we make another equation, 0/0=x, 0*x=0 so ANYTHING times zero is 0. So the answer is infinitely many answers.
What happens if both variables are eliminated?
If both variables are eliminated and you are left with a true statement, this indicates that there are an infinite number of ordered pairs that satisfy both of the equations. In fact, the equations are the same line. Solve for x and y.
Why is elimination better than substitution?
Elimination has less steps than substitution. Elimination reduces the possibilities of mistakes as compared to other methods. Elimination is quicker.
How do you do elimination in algebra?
The Elimination Method
- Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient.
- Step 2: Subtract the second equation from the first.
- Step 3: Solve this new equation for y.
- Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.