Question

×/2=y/3; y/4=z/4 và x+2y-z=10

Answer 1

Explanation:

`(x)/(2)=(y)/(3)\\\\`

Cross multiply,

3x = 2y ------------(I)

`(y)/(4)=(z)/(4)\\\\4*(y)/(4)=(z)/(4)*4\\\\y=z`

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z ----------------(III)

x + 2y - z = 10

From (I) and (III)

`x + 3x - (3x)/(2)=10\\\\4x - (3x)/(2)=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*(3x)/(2)=10*2\\\\8x - 3x = 20\\\\5x = 20`

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y = 6

z = y

z = 6