To solve: the given proportion. Given information: The given proportion: 16x+5=45

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To solve: the given proportion.  Given information:  The given proportion:  16x+5=45

Jonathan Burroughs · Accepted Answer

Calculation:  A proportion is an equation stating that the two ratios or rates are equal.  Simplify 16x+5=45 as follows:  16×5=4×(x+5)  80=4×x+4×5  80=4x+20  80−20=4x+20−20 [Add (-20) on both sides]  60=4x  604=4x4 [Divide each side by 4]  15=x  Hence, the value of x is x=15.

otoplilp1 · Accepted Answer

Step 1  Equation: 16x+5=45  Variable x cannot be equal to −5 since division by zero is not defined. Multiply both sides of the equation by 5(x+5), the least common multiple of x+5,5  5×16=4(x+5)  Multiply 5 and 16 to get 80.  80=4(x+5)  Use the distributive property to multiply 4 by x+5  80=4x+20  Swap sides so that all variable terms are on the left hand side.  4x+20=80  Subtract 20 from both sides.  4x=80−20  Subtract 20 from 80 to get 60.  4x=60  Divide both sides by 4  x=604  Divide 60 by 4 to get 15.  x=15

To solve: the given proportion. Given information: The given proportion: \frac{16}{x+5}=\frac{4}{5}

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