Question

Solve the equation (1)/(2)x+(4)/(7)x=(30)/(7) Step-by-Step Solution Begin solving this linear equation by rewriting it without fractions. Do this by multiplying both sides of the equation b the least common denominator ( LCD ) The ICD is 4

Answer 1

We solve the equation by first finding the LCD, which is 14 and multiplying both sides of the equation by it to eliminate the fractions. This gives us the equation 15x = 60, and solving for x gives x = 4.

Step-by-step explanation:

To solve the equation (1/2)x+(4/7)x=(30/7), we first find the least common denominator (LCD) of the fractions involved. The LCD for 2 and 7 is 14. Hence, we multiply both sides of the equation by 14 to eliminate the fractions:

14 * (1/2)x + 14 * (4/7)x = 14 * (30/7)

This simplifies to: 7x + 8x = 60

Combine like terms on the left-hand side of the equation to get:

15x = 60

To solve for x, we divide both sides by 15:

x = 60 / 15

So, x = 4.

Learn more about Solving Equations with Fractions