If 2x + y = 6 and xy = 4 then find the value of (2x - y) - Maths - Linear Equations in One Variable

Question

If 2x + y = 6 and xy = 4 then find the value of (2x - y)

Varun Rawat · Accepted Answer

2x + y = 6⇒2x + y2 = 62⇒4x2 + y2 + 4xy = 36⇒4x2 + y2 + 4 × 4 = 36⇒4x2 + y2 + 16 = 36⇒4x2 + y2 = 20Now, 2x - y2 = 4x2 + y2 - 4xy=20 - 4 × 4=20 - 16=4Now, 2x - y = ±2

If 2x + y = 6 and xy = 4 then find the value of (2x - y).