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dumbsearch2

  • 2 years ago

Solve the following system using any method. 5x - 2y = -16 3x + 5y = -22 (7, 2) (-4,-2) (4, 6) No solution. The system is inconsistent. Infinite number of solutions. The system is dependent.

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  1. dumbsearch2
    • 2 years ago
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    Thanks in advance guys!!! :)

  2. apple_pi
    • 2 years ago
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    5x - 2y = -16 3x + 5y = -22 OK for this two ways, well actually 3. First, put in x and y into both equations and see if it works. Do you know elimination?

  3. apple_pi
    • 2 years ago
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    Or substitution?

  4. apple_pi
    • 2 years ago
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    Well... eliminate either x or y by making the values of them in both equations the same. So for this one, I will eliminate x. The LCM of 5 and 3 is 15. In both equations we want 15x. Multiply the first equation by 3, and the second by 5 to get: 15x - 6y = -48 15x + 25y = -110 Now Subtract one from the other: 15x - 6y - (15x + 25y) = -48 -(-110) -31y = 62 y = -2 Now substitute y = -2 into any of the first equations. I'll choose eq 1 3x + 5(-2) = -22 3x - 10 = -22 3x = -12 x = -4 And there you have it

  5. apple_pi
    • 2 years ago
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    @dumbsearch2

  6. dumbsearch2
    • 2 years ago
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    Thank you so much!!! :)

  7. dumbsearch2
    • 2 years ago
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    Your AMAZING! :)

  8. apple_pi
    • 2 years ago
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    Your welcome. Do you know the other method? Substitution?

  9. Dido525
    • 2 years ago
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    Or you could use matrices...

  10. apple_pi
    • 2 years ago
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    You could indeed

  11. dumbsearch2
    • 2 years ago
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    thank you! :)

  12. dumbsearch2
    • 2 years ago
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    so much for your help! :)

  13. dumbsearch2
    • 2 years ago
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    matrices? what dat? @Dido525

  14. Dido525
    • 2 years ago
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    Never mind then :P . Wait till linear algebra.

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