Answer:
x=8, y=0
Step-by-step explanation:
First method: substitution method
3x +12y= 24 -------(1)
3x -3y= 24
3x= 3y +24 -------(2)
subst. (2) into (1):
3y +24 +12y= 24
(We are substituting the value of 3x into equation 1)
15y= 24-24 (simplify, bring constant to one side)
15y= 0 (simplify)
y= 0 (divide by 15 on both sides)
subst. into (2):
3x= 3(0)+24
3x= 24 (simplify)
x= 24/3 (divide by 3 on both sides)
x= 8
second method: elimination method
3x+12y=24 ------(1)
3x-3y= 24 -------(2)
(1 )- (2):
(3x+12y) - (3x-3y)= 24-24
3x+12y -3x+3y= 0
15y=0 (simplify)
y=0 (divide by 15 on both sides)
From (2):
3x= 3y+24
x= y+ 8 (divide by 3 on both sides)
when y=0,
x= 0+8
x=8
