💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 30 days
Like
Report
Suppose the graphs of the two linear equations of a system are the same line. What is wrong with the following statement? The system has infinitely many solutions. Any ordered pair is asolution of the system.
This statement is not true because, not every ordered pair in general is solution of the system, but only those ordered pairs that represents coordinates of any point on the line are solutions of the system.
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 1
Solving Systems of Equations by Graphing
Equations and Inequalities
Systems of Equations and Inequalities
Campbell University
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
Lectures
01:32
In mathematics, the absolu…
01:11
00:52
The graphs of the equation…
01:18
Give the number of solutio…
01:07
Draw a graph of two linear…
01:44
When using the addition or…
02:41
01:22
Each equation in a system …
01:03
The following is a system …
01:33
When a system of linear eq…
01:46
Describe a problem that mi…
Okay, So look, credible thinking we got to Linear equations are the same line. So here is our picture. One linear equation. The other one is the same line. We've seen that a couple times. Then it says what is wrong? Following statement. The system has infinite solutions. Any order pair is ah ah solutions. I was gonna write that out. Infinite solutions means any, um x y any ordered pair is a solution. I hope you can see why this is false. If you look at her picture here, there are an infinite number of solutions. I could put an infinite number of dots on both lines because they're the same line. But that doesn't mean that any dot is solution just means on Lee the docks that are on that line. Like, for example, Is this a solution? No, that's not solution. It's not on either of the lines. Is this guy solution up here? No, not a solution. So the word infinite doesn't mean all infinite. Just means that you could never count them all any Would mean every single possible dot All these dots would be solutions. But these are not solutions because they're not on the line. So what is wrong with this? One way to put it is that infinite is different than there were any. Another response you could have is that there are many points groups. Many points off the line. Yeah, infinitely many points.
View More Answers From This Book
Find Another Textbook
In mathematics, the absolute value or modulus |x| of a real number x is its …
The graphs of the equations of a system do not intersect. What can you concl…
Give the number of solutions for a system if the graphs of the equations in …
Draw a graph of two linear equations whose associated system has an infinite…
When using the addition or substitution method, how can you tell if a system…
Each equation in a system of linear equations has infinitely many ordered-pa…
The following is a system of three equations in only two variables.$$\le…
When a system of linear equations has no solution, do the lines intersect?
Draw a graph of two linear equations whose associated system has no solution…
Describe a problem that might arise when solving a system of equations using…
00:42
Find the prime factorization of $189 .$
01:13
Use vertical form to add the polynomials.$$\begin{array}{l}{3 x^…
00:55
Use scientific notation to perform the calculations. Give all answers in sci…
00:36
Complete each factorization.$$\begin{aligned}12+8 n-3 m-2 m n &a…
01:02
Simplify. Do not use negative exponents in the answer.$\frac{r^{-50}}{r^…
00:14
Find the GCF of each list of terms.$$2(y-1), 5(y-1)$$
02:29
Find a polynomial that represents the perimeter of the figure.(angle can…
01:25
Add the polynomials.$$\left(2 t^{2}+11 t-15\right)+\left(-5 t^{2}-13…
Solve each system of equations by graphing.$$\left\{\begin{array}{l}…
Simplify. Do not use negative exponents in the answer.$\frac{y^{-3}}{y^{…
Create an account to get free access
Join Numerade as a
Already have an account? Log in
