solving systems of equations?

label Mathematics
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y=1/2x+5/2

3x+ 2y=1

how would you solve this system algebraically and by graphing?

Jun 4th, 2015

Hi !

By algebraically

y = 1/2x + 5/2

3x + 2y = 1

Simplifying

x - 2y = - 5

3x + 2y = 1

Adding them

4x = - 4

x = - 1

Now put the value of x in any equation. then

3(-1) + 2y = 1

- 3 + 2y = 1

2y = 4

y = 2

Hence the solution is  (-1, 2)

By graphically 

when we draw the graph, then we locate the point where the lines will meet.

now from graph, we can see the point where lines are intersecting, which is the solution. 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

Please best, Thanks :)

Jun 4th, 2015

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