Respuesta :

If x = 1/4 and Y = 3/7

Evaluate the following expression: 7x - 4y

[tex] \\ [/tex]

[tex] \rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) } \\ [/tex]

  • Substitute the given value of x and y

[tex] \rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7} \\ [/tex]

  • Calculate the product of the rational numbers

[tex] \rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} } \\ [/tex]

  • Calculate the product of the rational numbers

[tex] \rm \orange{ \frac{7}{4} - \frac{12}{7} } \\ [/tex]

  • Find the difference between the two fractions

[tex] = \small{\boxed{{\sf{ \frac{1}{28} }}}}[/tex]

Therefore, the answer is 1/28.

Answer:

Step-by-step explanation:

[tex]\text{Substitute the values of x and y in the expression}[/tex]

[tex]7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}[/tex]

            [tex]\sf =\dfrac{7}{4}-\dfrac{12}{7}\\\\ [LCM \ of 4 \ and \ 7 = 28]\\\\ =\dfrac{7*7}{4*7}-\dfrac{12*4}{7*4}\\\\=\dfrac{49}{28}-\dfrac{48}{28}\\\\=\dfrac{1}{28}[/tex]