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Jasmineplayhouse

  • 2 years ago

use the elimination method to solve the system of equations. a+7b=7 a+2b=-3

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  1. hartnn
    • 2 years ago
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    subtract the 2 equations, what u get ?

  2. Jasmineplayhouse
    • 2 years ago
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    I am sorry don't understand

  3. hartnn
    • 2 years ago
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    let me give you an example on how to subtract equations, let the 2 equation be say, 2x+3y =7 2x-3y =2 now if i subtract the 1st equation from 2nd equation, i get (2x-3y) - (2x+3y) = 2-7 so, 2x-2x-3y-3y=-5 0-6y=-5 so, y = 5/6 in same manner, you try for your question of a+7b=7 a+2b=-3

  4. Jasmineplayhouse
    • 2 years ago
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    b=5/4?

  5. hartnn
    • 2 years ago
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    very close,but its 7b-2b = 7-(-3) can you proceed ?

  6. Jasmineplayhouse
    • 2 years ago
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    9b=4

  7. hartnn
    • 2 years ago
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    7-2 = 5 7- (-3) = 7+3 =10 -_-

  8. Jasmineplayhouse
    • 2 years ago
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    so b=5/10?

  9. hartnn
    • 2 years ago
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    7b-2b = 7-(-3) 5b = 10 b=10/5 = 2 got this ?

  10. Jasmineplayhouse
    • 2 years ago
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    still confused

  11. hartnn
    • 2 years ago
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    on which step ?

  12. Jasmineplayhouse
    • 2 years ago
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    7-(-3) since it has a minus sign in front i believed it was to be subtracted not added.

  13. hartnn
    • 2 years ago
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    - * - = + so, 7 - (-3) became 7+3

  14. Jasmineplayhouse
    • 2 years ago
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    ok now i understand

  15. Jasmineplayhouse
    • 2 years ago
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    so the final answer would be 2

  16. hartnn
    • 2 years ago
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    b=2 you still need to find 'a' put b=2 in any 1 of the original equation to get a

  17. kelliegirl33
    • 2 years ago
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    multiply the first equation by a -1. Doing this will cancel out the a's. You can then solve for b. Once you have solved b, substitute that in for b in either of the original equations and you will solve a. You can then check your answer by subbing in known variables in either of the original equations and if they equal, your answers are correct :)

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