Question

If x = 1/4 and Y = 3/7 evaluate the following expression 7x-4y ​

Answer 1

Answer:

Step-by-step explanation:

$\text{Substitute the values of x and y in the expression}$

$7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}$

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

Answer 2

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

Evaluate the following expression: 7x - 4y

$\rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) }$

• Substitute the given value of x and y

$\rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7}$

• Calculate the product of the rational numbers

$\rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} }$

• Calculate the product of the rational numbers

$\rm \orange{ \frac{7}{4} - \frac{12}{7} }$

• Find the difference between the two fractions

$= \small{\boxed{{\sf{ \frac{1}{28} }}}}$

Therefore, the answer is 1/28.