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24 votes
24 votes
The quotient of 24 and x equals 14 minus 2 times x

User Kuddusi
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1 Answer

13 votes
13 votes

Answer:

x = 4

x = 3

Explanation:

quotient of 24 and x equals 14 minus 2 times x

quotient means division

quotient of 24 and x equals 14 minus 2 times x means

24 ÷ x = 14 - 2 * x

you have to do it in PEMDAS order

PEMDAS means the order of operations for mathematical expressions involving more than one operation.

It stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

(24 ÷ x) = 14 - (2 * x) =

(24/x) = 14 - (2x) =

24/x = 14 - 2x

24 = (14 - 2x) * x

24 = 14x - 2x^2

simplify by dividing each number by 2

12= 7x - x^2

x^2 - 7x + 12= 0

now figure which 2 numbers when multiplied give you +12 and when added give you -7?

those numbers are -4 and -3

(x-4) (x-3) = 0

x = 4

x = 3

User Denis Alimov
by
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