Solve. 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

Answer 1

To solve the equation, we need to isolate x.

Start by adding 4 to both sides of the equation:

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

This simplifies to:

Start Fraction 3 over 2 End Fractionx = 20

To eliminate the fraction, multiply both sides of the equation by the reciprocal of the fraction, which is 2/3:

2/3 * Start Fraction 3 over 2 End Fractionx = 2/3 * 20

This simplifies to:

x = 40/3

The final solution is x = 13 1/3 or x = 13.33 (rounded to two decimal places).