Mathematics

Question

Fill in the missing steps and justification
Fill in the missing steps and justification

2 Answer

  • Step-by-step explanation:

    1. 4x - 7 = -2x + 12, Given

    2. 4x - 7 + 2x = -2x + 12 + 2x, Addition property of equality

    3. 6x - 7 = 12, Simplification

    4. 6x - 7 + 7 = 12 + 7, Addition property of equality

    5. 6x = 19, Simplification

    6. 6x/6 = 19/6, Division property of equality

    7. x = 19/6, Simplification

  • Answer:

    The steps are :

    1. [tex]4x-7=-2x+12[/tex] - This is Given

    2. [tex]4x-7+2x=-2x+12+2x[/tex] - Here, addition property of equality is used.

    3. [tex]6x-7=12[/tex] - This step is simplification as both the LHS and RHS are being calculated and simplified.

    4. [tex]6x-7+ 7=12+7[/tex] - Here, again addition property of equality is applied.

    5. [tex]6x =19[/tex] - This is simplification again.

    6. [tex]\frac{6x}{6}=\frac{19}{6}[/tex] - Here the division property of equality is applied.

    7. [tex]x=\frac{19}{6}[/tex] - This step is simplification.

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