Question

Solve for x and y

Answer 1

Answer:

x=4, y=10

Step-by-step explanation:

(x+2)/3= (y-2)/4= (y-x)/3

• x+2= y-x ⇒ y= 2x+2
• (x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4
• y=2*4+2= 10

Answer 2

Answer:

The value of x is 2 and y is 10.

Step-by-step explanation:

First, you have to do cross multiplications of any 2 fractions :

1st equation,

$\frac{x + 2}{3} = \frac{y - 2}{4}$

$4(x - 3) = 3(y - 2)$

$4x + 8 = 3y - 6$

2nd equation,

$\frac{y - 2}{4} = \frac{y - x}{3}$

$4(y - x) = 3(y - 2)$

$4y - 4x = 3y - 6$

Next, you have to solve the simultaneous equation by elimination :

$4x - 3y = - 14 - - - (1)$

$- 4x + y = - 6 - - - (2)$

$(1) + (2)$

$4x - 3y + ( - 4x) + y = - 14 + ( - 6)$

$- 2y = - 20$

$y = 10$

$substitute \: y = 10 \: into \: (1)$

$4x - 3(10) = - 14$

$4x - 30 = - 14$

$4x = - 14 + 30$

$4x = 16$

$x = 4$