Question

Using substitution method x+4y=5;4x+y=50

Answer 1

x+ 4y =5
x = 5 -4y
Putting the value of x in the equation 4x + y = 50
4(5-4y) + y = 50
20 - 16y + y = 50
20 -15y = 50
-15 y = 50- 20
-15 y = 30
y = -30/ 15
y = -2

Putting the value of y in x= 5-4y

x = 5 - 4(-2)
x = 5 + 8
x = 13

So, the value of x is 13 and value of y is -2

Answer 2

Step-by-step explanation:

x+4y =5~ 1st equation

4x+y = 50~2nd equation

let us consider 1st equation

x+4y=5

x=5-4y ~ 3rd equation

put equation 3rd equation in 2nd equation

4(5-4y) +y =50

20-16y+y =50

20-15y=50

20-50=15y

-30 =15y

y=-30/15

y=-2

substitute y in 3rd equation

x=5-4y

x=5-4(-2)

x=13