# ANSWER 3 QUESTIONS. SHOW WORK.

label Algebra
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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

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Feb 16th, 2015
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Feb 16th, 2015
Nov 19th, 2017
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