If QR is 17 more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of each side

Complete question :

triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of each side.

x = 9

All sides have 35 units length

Step-by-step explanation:

Recall: Equilateral triangles have 3 sides, all of equal length.

QR = 2x + 17

RS = 6x - 19

QS = 4x - 1

Take :

QR = RS = QS

To find x

QR = RS

2x + 17 = 6x - 19

2x - 6x = - 19 - 17

-4x = - 36

x = 9

QR = 2(9) + 17 = 35

RS = 6(9) - 19 = 35

QS = 4(9) - 1 = 35