💬 👋 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
Use the elimination method to solve each system. If there is no solution, or infinitely many solutions, so state.
$$\left\{\begin{array}{l}{\frac{x-6 y}{2}=7} \\{-x+6 y+14=0}\end{array}\right.$$
Infinitely many solutions
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 3
Solving Systems of Equations by Elimination (Addition)
Equations and Inequalities
Systems of Equations and Inequalities
McMaster University
Harvey Mudd College
Baylor University
Lectures
01:32
In mathematics, the absolu…
01:11
01:05
Solve each system by subst…
00:52
Solve each system by the a…
01:08
01:39
Solve the system using the…
01:02
Solve each system. State w…
01:14
Solve each system by the e…
01:15
01:28
Solve the system. For syst…
to start solving this system. I'm going to clear the fraction from the first equation by multiplying both sides by two. And that gives me X minus six y equals 14. And with the second equation, I'm going to change into standard form by subtracting 14 from both sides. And now it's the opposite of X plus six y equals negative 14. Now we can go ahead and add these equations together. Since we have opposite ex terms, they're going to be eliminated. We also have opposite white terms, so they're eliminated as well. So we have zero on the left. And then when we had 14 and negative 14 we get zero on the right, and any time you get zero equals zero, that tells you that you have infinitely many solutions because thes air actually just the same lines the same line one right on top of the other. The equations looked different, but they're actually equivalent
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, the absolute value or modulus |x| of a real number x is its …
Solve each system by substitution. If a system has no solution or infinitely…
Solve each system by the addition method. If there is no solution or an infi…
Solve the system using the substitution method. For systems that do not have…
Solve each system. State whether it is inconsistent or has infinitely many s…
Solve each system by the elimination method.$$\begin{aligned}&am…
Solve the system. For systems that do not have one unique solution, also sta…
01:45
Use either the slope-intercept form (from Section 3.5) or the point-slope fo…
01:36
Solve the system by either the substitution or the elimination method.$$…
02:04
Complete each table.$\begin{array}{|r|r|}\hline x & {3^{x}} \\ \hlin…
00:44
Graph each inequality.$$5 x+3 y<0$$
00:50
Graph the given inequality in part a. Then use your answer to part a to help…
01:44
Use the elimination method to solve each system.$$\left\{\begin{arra…
01:10
Determine whether each graph is the graph of a function. If it is not, find …
01:50
a. If the contents of the two test tubes are poured into a third tube, how m…
01:13
Fill in the blank.A. To simplify $\left(2 y^{3} z^{2}\right)^{4},$ what …
00:32
Two angles are supplementary. The measure of the smaller angle is $25^{\circ…
Create an account to get free access
Join Numerade as a
By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy
or sign in with
Already have an account? Log in
