Question

if 3/2x+2y=x/4-y/2=1, then x-y =​

Answer 1

Step-by-step explanation:

$\frac{3}{2}x + 2y = 1 = > 3x + 4y = 2...(1)$

$\frac{x}{4} - \frac{y}{2} = 1 = > x - 2y = 4...(2)$

Multiply (2) by 2 and add(1) we get

3x+4y+2(x-2y)=2+8 =>5x=10 =>x=2. Substitute x=>2 in equation (1) =>3(2)+4y=2 =>4y=2-6= -4 =>y= -1. x-y =>2-(-1) =>3. Hope it helps you.

Answer 2

Answer:

x-y = 3

Step-by-step explanation:

Given equation: 3/2x + 2y = x/4 - y/2 = 1

To find x-y, we need to first solve the given equations and determine the values of x and y.

Here are the steps to solve the equations:

• Simplify the equations:

3/2x + 2y = 1 can be simplified to 6x + 8y = 4

x/4 - y/2 = 1 can be simplified to x - 2y = 4

• Use the second equation to express x in terms of y:

x = 2y + 4

• Substitute the value of x in the first equation:

6x + 8y = 4

6(2y+4) + 8y = 4

20y + 24 = 4

20y = -20

y = -1

• Substitute the value of y in the expression for x:

x = 2y + 4

x = 2(-1) + 4

x = 2

• Calculate x-y:

x-y = 2 - (-1)

x-y = 3

Therefore, x-y = 3.

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