Four less than two-thirds of a number is equal to twice the number. What is the number

Mathematics

2 answers:

zalisa [80]3 years ago

8 0

2/3*n-4 = 2*n

subtract 2/3 n from each side

-4 = 2n - 2/3 n

-4 = 6/3 n - 2/3 n

-4 = 4/3 n

multiply by 3/4 on each side

-4 * 3/4 = n

-3 = n

The number is -3

Ket [755]3 years ago

7 0

Answer:

n = -3

Step-by-step explanation:

Let the number be n. Then (2/3)n-4 = 2n.

Solve for n. To accomplish this, start by mult. both sides by 3, to remove the fractional coefficient: 2n - 12 = 6 n, or -12 = 4n. then n = -3 (answer)

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