We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
48
2
avatar

3. Create a system of equations that has no solutions.  Then prove that it has no solutions algebraically.

 

 

 

4.  Create a system of equations that has infinite solutions. Then prove that it has no solutions algebraically.

 Mar 12, 2019
 #1
avatar+18033 
+2

y= 1/2 x +14

2y-x = 44         Hint:   these are equations of lines that do not cross....so no solution set

                take it away !

 Mar 12, 2019
 #2
avatar+7477 
+1

3. \(\begin{cases} 2x + y= 1\\2x+y = 5\end{cases}\)

Substituting equation 1 into equation 2, we get 5 = 1, which means no solution.

 

4. \(\begin{cases}2x + y = 1\\4x+2y = 2\end{cases}\)

Substituting equation 1 into equation 2, we get 2 = 2 which is always true. Therefore, any pair of (x, y) satisfies this equation and thus it has infinite solutions.

 Mar 12, 2019

33 Online Users

avatar
avatar
avatar