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anonymous

  • one year ago

What is the value of x in the solution to the following system of equations? x − y = −3 x + 3y = 5

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  1. anonymous
    • one year ago
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    can some one help?

  2. Mrhoola
    • one year ago
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    Are you familiar with the three methods to solve linear equations ? Substitution , Addition , I forgot what the other one was

  3. anonymous
    • one year ago
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    yes a little bit

  4. kropot72
    • one year ago
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    You can use to first equation to find y in terms of x: x - y = -3 Subtracting x from both sides we get -y = -x - 3 Multiplying both sides by -1 gives us y = x + 3 Now plug the value for y into the second of the original equations, giving: x + 3(x + 3) = 5 ...................(1) Now you just need to solve equation (1) to find the value of x.

  5. anonymous
    • one year ago
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    how do i solve for 1?

  6. anonymous
    • one year ago
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    well how do i solve x+3(x+3)=5

  7. kropot72
    • one year ago
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    x + 3(x + 3) = 5 ...................(1) Expanding the brackets gives x + 3x + 9 = 5 Adding like terms we get 4x + 9 = 5 ............(2) Now you should be able to solve equation (2).

  8. anonymous
    • one year ago
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    4x+9=5 -9 -9 4x=-4

  9. anonymous
    • one year ago
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    is that right so far?

  10. kropot72
    • one year ago
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    Yes, 4x = -4 is correct. Now divide both sides by 4.

  11. anonymous
    • one year ago
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    x=-1?

  12. kropot72
    • one year ago
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    You are correct.

  13. anonymous
    • one year ago
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    alright thanks man, greatly appreciate your help

  14. kropot72
    • one year ago
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    You're welcome :)

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