Respuesta :

fnej

Answer:

x = 2.67

Step-by-step explanation:

[tex]\frac{3}{4} x=2\\\\3x=8\\x=2.67[/tex]

Answer:

[tex]\boxed {\boxed {\sf x=\frac{8}{3} \ or \ x \approx 2.67}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\frac{3}{4}x=2[/tex]

Since we want to solve for x, we must isolate the variable.

x is being multiplied by 3/4. The inverse of multiplication is division. Divide both sides by 3/4 or multiply both sides by the reciprocal. To find the reciprocal, flip the numerator and denominator of the fraction.

  • Reciprocal: 3/4 --> 4/3

[tex]\frac{3}{4}x / \frac{3}{4}=2/ \frac {3}{4}[/tex]

or

[tex]\frac{4}{3} *\frac{3}{4}x=2* \frac{4}{3}[/tex]

[tex]x=2/ \frac {3}{4}[/tex]

or

[tex]x=2* \frac{4}{3}[/tex]

[tex]x=\frac{8}{3} \\\x \approx 2.67[/tex]

x is equal to 8/3 or approximately 2.67.