ANSWER 3 QUESTIONS. SHOW WORK.

Algebra
Tutor: None Selected Time limit: 1 Day



1.  Find a solution to the following system of equations.
-3x + 5y = 2
-3x + 3y = 6

2. 
Solve the system using elimination.
7x + 5y = 15
–6x – 4y = –14

3. 
Suppose you solve a system of linear equations and get the result 6 = 6, how many solutions are there?

Feb 16th, 2015

1.  subtract the second equation from the first to get

2y = -4

y = - 2       Now plug that back into any one of the given equations to get

-3x + 5(-2) = 2

-3x - 10 = 12

-3x = 12

x = - 4


2. Multiply the first equation by 4 and the second equation by 5 to get

28x + 20y = 60

-30x - 20 y = -70              Now add them to get

-2x = -10

x = 5            Now plug that into any of the given equations to get

7(5) + 5y = 15

35 + 5y = 15

5y = -20

y = - 4

3. If you get 6 = 6 that means there are an infinite number of solutions.

Feb 16th, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Feb 16th, 2015
...
Feb 16th, 2015
Dec 8th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer