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algol [13]
2 years ago
8

How can you use the DISTRIBUTIVE PROPERTY solve the equation: 3(x-4) = 24 ? *

Mathematics
2 answers:
guapka [62]2 years ago
7 0

By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)

3(x - 4) = 24

3x - 12 = 24

Then, you would solve like any normal one-step equation.

3x - 12 = 24

     +12   +12

__________

3x      36

__  =  __

3        3

x = 12, which is your final solution.

If you need any further explanations, please ask me :)

Sidana [21]2 years ago
7 0

Answer:

3(x - 4) = 24 This is the normal equation.

3x - 12 = 24 Next, use the distributive property and multiply everything in the parentheses by the number on the right of the parentheses, which in this case is 3. 3 times x is 3x, and remember to use any symbols to the left of the numbers and use as if it was a negative. 3 times -4 -12. Get rid of the parentheses and replace with the new numbers, which are 3x and -12.

3x = 36  I think you are solving for X so that's what i'm doing.

x = 12    

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3 years ago
X - y = 2<br> 4x – 3y = 11
swat32

Answer:

<u><em>For x - y = 2</em></u>

You need to find x or y in one of the equations and then substitute that into the other.

So we have;

x-y=2

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We will take the first equation and find x;

x-y=2

add y to both sides;

x-y+y=2+y

x=2+y

Now we take that answer and substitute it forx in the other equation;

 

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Now we have what y equals, so we use it in the first equation to find x;

x-3=2

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So we have;

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Hope you understand!

=)

<u><em>And for 4x – 3y = 11</em></u>

Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:

8x - 6y = 22    ...(3)

30x + 6y = -3  ...(4)

 Now add (3) and (4) term by term:

38x + 0 = 19

or

38x = 19

or x = 1/2

Put this back into equation (1)

4*(1/2) - 3y = 11

or

2 - 3y = 11

Subtract 2 from both sides:

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6 0
3 years ago
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