Quotient Of A Number Less Five, And Four Is Eleven. Write In Algebraic Expressions.

Quotient of a number less five, and four is eleven. write in algebraic expressions.

Mathematical Phrase: The quotient of a number less five and four is eleven

Mathematical Equation: $\frac{x-5}{4} =11$

Finding the value of x:

$\frac{x-5}{4} =11$

Multiply both sides by 4

$(4)\frac{x-5}{4} =11(4)$

x - 5 = 44

Transpose 5 and change its sign

x = 44 + 5

Add

x = 49

Checking:

$\frac{x-5}{4} =11$

$\frac{49-5}{4} =11$

$\frac{44}{4} =11$

11 = 11

CHECK

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