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anonymous

  • one year ago

WILL MEDAL AND FAN, JUST NEED HELP REVIEWING

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  1. anonymous
    • one year ago
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    I just need someone to help me work out the answer!

  2. anonymous
    • one year ago
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    Solve for x: 3(x + 1) = −2(x − 1) − 4.

  3. anonymous
    • one year ago
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    answer choices: 1 −1 −5 −25

  4. anonymous
    • one year ago
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    I know you do the parenthesis first, right?

  5. mathstudent55
    • one year ago
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    Yes. Distribute the 3 on the left side, and distribute the -2 on the right side. That gets rid of the parentheses on both sides. What do you get?

  6. anonymous
    • one year ago
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    -2x +1 = 3x-5?? I duck at this stuff

  7. anonymous
    • one year ago
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    lol I meant suck

  8. mathstudent55
    • one year ago
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    Let's do it one step at a time. We start with the original equation: |dw:1433462580564:dw|

  9. mathstudent55
    • one year ago
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    Now we distribute the 3 on the left side. To distribute a number by a quantity in parentheses, we multiply the number outside the parentheses by each term inside the parentheses. Let's do just the left side first.

  10. anonymous
    • one year ago
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    Oh, the distributive property!

  11. mathstudent55
    • one year ago
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    |dw:1433462685387:dw|

  12. anonymous
    • one year ago
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    -2x -2 x 1 -4 ??

  13. mathstudent55
    • one year ago
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    Yes, we are using the distributive property of multiplication over addition on the left side. You see, 3(x + 1) turns into 3 * x + 3 * 1. We will simplify that in the next step.

  14. mathstudent55
    • one year ago
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    Now let's do the distributive property on the right side. |dw:1433462795731:dw|

  15. mathstudent55
    • one year ago
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    You need to be careful with the signs on the left side.

  16. mathstudent55
    • one year ago
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    Now we simplify both sides.

  17. mathstudent55
    • one year ago
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    |dw:1433462877297:dw|

  18. anonymous
    • one year ago
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    3x+3= -2x +2-4 ??

  19. mathstudent55
    • one year ago
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    Exactly.

  20. anonymous
    • one year ago
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    now, we have to solve it!?

  21. mathstudent55
    • one year ago
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    Now we collect like terms on the right side. 2 and -4 are like terms. They both have no variable. We can combine them together. |dw:1433462994203:dw|

  22. anonymous
    • one year ago
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    ok I am following you

  23. mathstudent55
    • one year ago
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    Since we are solving for x, we want x by itself on the left side and the numbers by themselves on the right side. Let's deal with the terms with x first. We see -2x on the right side. Since the term -2x and the term -2 (both on the right side) are being added together, we add 2x to both sides to move the -2x to the left side. |dw:1433463153571:dw|

  24. mathstudent55
    • one year ago
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    Great.

  25. anonymous
    • one year ago
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    then you add 3 to both sides? Or do you get rid of x?

  26. anonymous
    • one year ago
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    I mean subtract

  27. mathstudent55
    • one year ago
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    Subtract is correct. Now we have all terms with x on the left side. Now we need to get all terms that are just numbers on the right side. We see on the left side that 3 is being added to 5x. We want that 3 on the right side, so we subtract 3 from both sides.

  28. mathstudent55
    • one year ago
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    |dw:1433463277247:dw|

  29. anonymous
    • one year ago
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    5x = -5

  30. mathstudent55
    • one year ago
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    Exactly.

  31. anonymous
    • one year ago
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    divide both sides by positive 5

  32. anonymous
    • one year ago
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    to get x= -1 !!??

  33. mathstudent55
    • one year ago
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    We still want the x by itself, but there is a 5 with the x. The 5 is multiplying the x. We do the opposite operation to multiplication which is division. We divide both sides by 5.

  34. mathstudent55
    • one year ago
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    |dw:1433463388210:dw|

  35. anonymous
    • one year ago
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    Thank you so much for your help! Wish me luck....

  36. mathstudent55
    • one year ago
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    One final thing. With many problems, you answer them, and you don;t really know whether the answer is correct or incorrect until your teacher grades your work. With an equation, we can find out by ourselves if x = -1 is really correct or not.

  37. anonymous
    • one year ago
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    you fill in the number?

  38. mathstudent55
    • one year ago
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    By stating that x = -1, we are saying that if we plug in -1 for x in the equation, the equation will be true. Let's check it for ourselves: In the second line below, I replaced x with our solution, -1. |dw:1433463548144:dw|

  39. mathstudent55
    • one year ago
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    Now we work out the math to see if the statement above is true. If it is true, then x = -1 is the correct solution.

  40. mathstudent55
    • one year ago
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    |dw:1433463631425:dw|

  41. mathstudent55
    • one year ago
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    The solution is x = -1. We were correct.

  42. anonymous
    • one year ago
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    YAYY! Thanks, again.. I gave you a medal and fanned you.

  43. mathstudent55
    • one year ago
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    Good luck with your studies. If you see me online again and have a question, don't hesitate to ask. It's been great working with you!

  44. anonymous
    • one year ago
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    Wait, do you mind helping with one more? I will open new question if you want?!

  45. mathstudent55
    • one year ago
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    No problem. Please start a new post. I'll help you there.

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