Solve the systems by elimination: 8x-2y= -10 -4x+y= 5

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

4 0

Let's eliminate x. To achieve this, mult. the 2nd equation by 2, obtaining

-8x + 2y = 10. Now add this result to the first equation:

8x-2y= -10

-8x + 2y = 10

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The two equations actually represent the same line. Without an x- or a y-value, we cannot solve for the value of the other variable. There are infinitely many solutions.

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The diagram shows a regular octagon joined to an equilateral triangle work out the value of X

fgiga [73]

Answer:

$x=165^o$

Step-by-step explanation:

we know that

The measure of the interior angle in an equilateral triangle is equal to 60 degrees

The measure of the interior angle in a regular octagon is equal to

$\frac{(n-2)180}{n}$

where

n is the number of sides

In this problem we have

$n=8\ sides$

substitute

$\frac{(8-2)180}{8}$

$\frac{(6)180}{8}=135^o$

we have that, based in the diagram

The sum of the interior angle of the equilateral triangle plus the interior angle of a regular octagon plus the value of x must be equal to 360 degrees (complete circle)

$x+60^o+135^o=360^o$