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jeyben [28]
3 years ago
11

If 8x−4y=20 and 4x−8y=4, what is the value of x−y?

Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

Step-by-step explanation:

Solve the system:

8x−4y=20

4x−8y=4

Reduce the first equation by dividing every term by -2:

-4x + 2y = -10

and then combine this result with the second equation:

4x−8y=4

-4x + 2y = -10

--------------------

      -6y = -6, and so y = 1.  

According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.

Then x = 3 and y = 1.

So, finally, x - y = 3 - 1 = 2

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<h3>Answer:  B) 2</h3>

=========================================================

Explanation:

Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.

Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.

You should have:

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From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.

This means the solution is 2.

-------------------------------------

If you're curious about the algebraic way to solve, then you could do this:

3x-4 = -2x+6

3x+2x = 6+4

5x = 10

x = 10/5

x = 2

This method doesn't require us to use the visual model.

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Step-by-step explanation:

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