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Math Help - Answer the following exercises (polynomial, degree 1)

  1. #1
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    Answer the following exercises (polynomial, degree 1)

    1) 92x-4=6x-14
    2) 3*(t-7)=5*(3-t)+2t+6
    3) 0.25R+2=0.75R+5
    4) 4+x/4-(x-4)=x-3/2-5x+1/6
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  2. #2
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    Quote Originally Posted by Julian.Ignacio View Post
    1) 92x-4=6x-14
    2) 3*(t-7)=5*(3-t)+2t+6
    3) 0.25R+2=0.75R+5
    4) 4+x/4-(x-4)=x-3/2-5x+1/6
    Hi Julian.Ignacio,

    Let me get you started with the first two, and then you show us how you might start the other two.

    1. {\color{blue}92x-4=6x-14}

    Step 1: Subtract 6x from both sides of the equation to get the variable to one side of the equation.

    92x{\color{red}-6x}-4=6x{\color{red}-6x}-14

    86x-4=-14

    Step 2: Add 4 to both sides to isolate the variable (get it to one side by itself).

     86x-4{\color{red}+4}=-14{\color{red}+4}

    86x=-10

    Step 3: Finally, divide both sides by 86 and simplify.

    x=-\frac{10}{86}=\boxed{-\frac{5}{43}}

    2. {\color{blue}3(t-7)=5(3-t)+2t+6}

    Step 1: Use the distributive property to simplify the equation.

    3t-21=15-5t+2t+6

    Step 2: Combine like terms.

    3t-21=-3t+21

    Step 3: Add 21 to each side.

    3t-21{\color{red}+21}=-3t+21{\color{red}+21}

    3t=-3t+42

    Step 4: Add 3t to both sides.

    3t{\color{red}+3t}=-3t{\color{red}+3t}+42

    6t=42

    Step 5: Finally, divide both sides by 6.

    \boxed{t=7}

    Good luck with the other two. Let us know if you have problems. Show us some of your work.
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  3. #3
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    Oh thank you mate! I feel really stupid right now considering the gravity of the problem...
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