Solve for X (3X+1) (10) (22) (7x-1)

The value of x is 8

Step-by-step explanation:

In the given triangle

∵ A line segment joining points on two sides and parallel to the 3rd side

→ That means this line segment divided the two sides into equal ratios

∵ It divided the 1st side into 10 and 3x + 1

∵ It divided the 2nd side into 22 and 7x - 1

∴ =

→ By using cross multiplication

∵ 10(7x - 1) = 22(3x + 1)

∴ 10(7x) - 10(1) = 22(3x) + 22(1)

∴ 70x - 10 = 66x + 22

→ Subtract 66x from both sides

∵ 70x - 66x - 10 = 66x - 66x + 22

∴ 4x - 10 = 22

→ Add 10 to both sides

∴ 4x - 10 + 10 = 22 + 10

∴ 4x = 32

→ Divide both sides by 4

∴ x = 8

∴ The value of x is 8