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zhenek [66]
4 years ago
9

Which pairs make the equation x-9y=12 true

Mathematics
1 answer:
ELEN [110]4 years ago
6 0

Answer:

The pairs (12,0)  , (3,-1)  and (0,-4/3)  make the equation x- 9 y = 12 TRUE.

Step-by-step explanation:

Here, the given equation is  x - 9 y = 12

Checking for each pairs individually:

a) For (12,0):

x - 9y  =   (12) - 9(0) = 12  

and 12  =  12 (Right Side).

Hence, (12,0) satisfies the equation.

b) For (0,12):

x - 9y  =  0 - 9(12) = -118  

and -118   ≠  12 (Right Side).

Hence,(0,12) DO NOT  satisfy the equation.

c) For (3,-1):

x - 9y  =   3 - 9((-1) ) =  3 + 9 = 12  

and 12  =  12 (Right Side).

Hence, (3,-1) satisfies the equation.

d) For (0,-4/3):

x - 9y  =   0 - 9((-4/3) ) =  0 + 12 = 12  

and 12  =  12 (Right Side).

Hence, (0,-4/3) satisfies the equation.

Hence, the pairs (12,0)  , (3,-1)  and (0,-4/3)  make the equation x- 9 y = 12 TRUE.

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HELP NEEDED!!
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Answer:

a

Step-by-step explanation:

Given

2| x - 3 | + 5 = 17 ( subtract 5 from both sides )

2| x - 3 | = 12 ( divide both sides by 2 )

| x - 3 | = 6

The absolute value function always returns a positive value but the expression inside can be positive or negative, that is

x - 3 = 6 OR -( x - 3) = 6

x - 3 = 6 ( add 3 to both sides )

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OR

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As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

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Hence x = 9 or x = - 3 are the solutions → a

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