2 Sarah attempted to solve the equation -x + 5(x + 6) = 4x + 30 as shown, and concluded that there are no solutions. Solve the equation, exp

Question

2 Sarah attempted to solve the equation -x + 5(x + 6) = 4x + 30 as shown, and concluded that there are no solutions. Solve the equation, explain Sarah’s error, and find the correct number of solutions.

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Dulcie 5 months 2021-08-06T15:34:00+00:00 1 Answers 15 views 0

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    2021-08-06T15:35:51+00:00

    Answer:

    There are infinite answers

    Step-by-step explanation:

    Step 1: Simplify both sides of the equation.

    −x+5(x+6)=4x+30

    −x+(5)(x)+(5)(6)=4x+30(Distribute)

    −x+5x+30=4x+30

    (−x+5x)+(30)=4x+30(Combine Like Terms)

    4x+30=4x+30

    4x+30=4x+30

    Step 2: Subtract 4x from both sides.

    4x+30−4x=4x+30−4x

    30=30

    Step 3: Subtract 30 from both sides.

    30−30=30−30

    0=0

    Sarah’s error is she multiplied -x times 5x but not 6

    There are infinite amount of answers

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