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anonymous

  • one year ago

Solve the system using substitution and describe your steps x = y - 3 2x + y = 12

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  1. Vocaloid
    • one year ago
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    the first equation (x = y - 3) tells us that we can replace x with y - 3 whenever we see it, right? look at the second equation, replace x with (y-3) and solve for y then go back and solve for x using the first equation

  2. anonymous
    • one year ago
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    i need more help

  3. Vocaloid
    • one year ago
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    |dw:1434682745946:dw|

  4. Vocaloid
    • one year ago
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    does this make sense? see how we replace "x" with (y-3)?

  5. anonymous
    • one year ago
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    is that the final answer?

  6. Vocaloid
    • one year ago
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    no, but do you understand so far?

  7. anonymous
    • one year ago
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    yes

  8. Vocaloid
    • one year ago
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    ok, so we have 2(y-3) + y = 12, so what do you get when you distribute the 2?

  9. anonymous
    • one year ago
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    where do u distribute it to

  10. anonymous
    • one year ago
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    this is a new concept

  11. Vocaloid
    • one year ago
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    |dw:1434682989334:dw|

  12. anonymous
    • one year ago
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    2(y-3) = 2*y-6

  13. Vocaloid
    • one year ago
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    excellent, so far we have 2y - 6 + y = 12, so combine like terms to find y

  14. anonymous
    • one year ago
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    3y-6=12

  15. Vocaloid
    • one year ago
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    getting there, now add 6 to both sides and divide by 3 to find y

  16. anonymous
    • one year ago
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    6

  17. Vocaloid
    • one year ago
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    great, so we know that y = 6, but we're still not done yet because we need to find x from the first equation, we know that x = y - 3, and since y = 6, what is x?

  18. anonymous
    • one year ago
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    3?

  19. Vocaloid
    • one year ago
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    good! x = 3 and y = 6 generally, the solution to a system of equations is written as (x,y), so since x = 3 and y = 6, our solution is (3,6) that's our final answer

  20. anonymous
    • one year ago
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    thank you

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