Question

if 4x + y = 7 and x + 4y = -2 then the value of x - y = ______​

Answer 1

Answer: 3

Step-by-step explanation:

4x + y = 7

y = 7 - 4x

x + 4y = -2

x + 4(7-4x) = -2

x + 28 - 16x = -2

-15x + 28 = -2

-15x = -2 - 28

-15x = -30

x = (-30) / (-15)  

x = 2

y = 7 - 4x

y = 7 - 4(2)

y = 7 - 8

y = (-1)

x - y = 2 - (-1)

x - y = 2 + 1

x - y = 3

Answer 2

Step-by-step explanation:

4x+y=7

y=7-4x-----(1)

x+4y= -2

x+4(7-4x)= -2 {from equation (1)}

x+28-16x= -2

-15x= -2-28

-15x= -30

x= -30/-15

x=2

putting the value of x in equation (1)

y=7-4*2

y=7-8

y= -1

Now, x-y= 2-(-1)

x-y=2+1

X+y=3

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