Question

1) Simplify the following expression
140 ÷ [ ( - 3 ) - ( - 42 ) ÷ ( 14 -1 ) ]​

Answer 1

Answer:

First, distribute the -3 and the 10:

-3 (10x-3) + 10 (3x-3) = x-7

-30x + 9 + 30x - 30 = x-7

Combine like-terms:

-30x + 30x + 9 - 30 = x - 7

Simplify:

-21 = x - 7

Solve for x

-21 + 7 = x - 7 + 7

-14 = x

.

Check by plugging x=-14 back into the original equation:

-3 (10(-14)-3) + 10 (3(-14)-3) = (-14)-7

Simplify and solve:

-3 (-140-3) + 10 (-42 - 3) = -21

-3 (-140-3) + 10 (-42 - 3) = -21

-3 (-143) + 10 (-45) = -21

-3 (-143) + 10 (-45) = -21

429 + (-450) = -21

-21 = -21 The answer checks out.

Answer 2

Answer:

140 ÷ [ ( - 3 ) - ( - 42 ) ÷ ( 14 -1 ) ]

140 ÷ ( - 3 + 42/13 )

140 ÷ ( -39 + 42 ) / 13

140 ÷ ( -3/13 )

( 140 × 13 ) / -3

1820 / -3

Step-by-step explanation:

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