Question

If 4x+3y/4x-3y =7/4 use the properties to find the value of 2x

Answer 1

Step-by-step explanation:

Given If 4x+3y/4x-3y =7/4 use the properties to find the value of 2x^2 – 11y^2 / 2x^2 + 11y^2

• Given 4x + 3y / 4x – 3y = 7/4  
• So we get by componendo and dividend,
• 4x + 3y + (4x – 3y) / 4x + 3y – (4x – 3y) = 7 + 4 / 7 – 4
• 8x / 6y = 11/3
• 4x/3y = 11/3
• So x/y = 11/3 x ¾
• Or x/y = 11/4
• Squaring both sides we get
• (x/y)^2 = (11/4)^2
• So x^2 / y^2 = 121 / 16
• Multiply 2/11 both sides
• 2/11 x^2 / y^2 = 121/16 x 2/11
• 2x^2 / 11y^2 = 11 / 8

2x^2 – 11y^2 / 2x^2 + 11y^2

            = 11 – 8 / 11 + 8

            = 3/19