olve. Start Fraction 3 over 2 End Fractionx – 4 = 16

Question

(1 point)
Responses

x = 20
x = 20

x = 13 start fraction 1 over 3 end fraction
x = 13 Image with alt text: start fraction 1 over 3 end fraction

x = 15 start fraction 1 over 3 end fraction
x = 15 Image with alt text: start fraction 1 over 3 end fraction

30

Answer 1

To solve the equation, we need to isolate x.

We start by adding 4 to both sides of the equation:

Start Fraction 3 over 2 End Fraction x - 4 + 4 = 16 + 4

This simplifies to:

Start Fraction 3 over 2 End Fraction x = 20

Next, we can multiply both sides of the equation by the reciprocal of Start Fraction 3 over 2 End Fraction, which is Start Fraction 2 over 3 End Fraction, to get x alone:

Start Fraction 2 over 3 End Fraction * Start Fraction 3 over 2 End Fraction x = 20 * Start Fraction 2 over 3 End Fraction

This simplifies to:

x = 20 * Start Fraction 2 over 3 End Fraction

Multiplying 20 by Start Fraction 2 over 3 End Fraction gives us:

x = 40 over 3

Therefore, the solution to the equation is x = 40/3 or x = 13.33.