Question

solve using substitution:
2x+3y=11
x-4y=0

Answer 1

x-4y=0
add 4y to both side

Answer 2

x=4y

Answer 3

2(4y)+3y=11

Answer 4

8y+3y=11

Answer 5

11y=11

Answer 6

y=1

Answer 7

x=4y
substitute x in 1st equation to get y value then substitute y value in one of the equation to get x value

Answer 8

2x + 3y = 11
transpose 3y to right hand side
2x = 11-3y
divide both sides by 2
2x/2 = ( 11-3y ) /2
x = (11-3y)/2
put the value of x in the second equation

(11-3y)/2 - 4y = 0
(11-3y-8y)/2 = 0
(11-11y) = 0*2
11-11y = 0
transpose 11 to right hand side
-11y =0-11
-11y = -11
divide both sides by -11
y = 1