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DerKrebs [107]
3 years ago
13

3x + 12y = 24 3x - 3y = 24

Mathematics
2 answers:
ser-zykov [4K]3 years ago
4 0

what would you like me to do with these numbers????

nevsk [136]3 years ago
3 0

Answer:

x=8, y=0

Step-by-step explanation:

<u>First method: substitution method</u>

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

<u>second method: elimination method</u>

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

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