Question

What is the solution to the system of linear equations?

These two are not connected in that special brace or bracket you see, these are spaced out, but I think they're connected.

3.5x - 5y = 20

3x + 4y = 13

Please help, I will appreciate it a lot :) Oh, and please show steps. Thank you!

Answer 1

x = 5, y = -1/2

Explanation:

3.5x - 5y = 20

3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)

3.75x + 5y = 16.25

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3.5x - 5y = 20

3.75x +5y = 16.25

7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)

7.25x=36.25

x=5 So now we have x=5 and to find y we can just plug in x into one of the equations

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3(5) + 4y = 13

15 + 4y = 13

4y = -2

y = -1/2

x = 5, y = -1/2

Then you can plug in both to check your answers.