In the below system, solve for y in the first equation.

Mathematics

1 answer:

Flura [38]3 years ago

5 0

C
$x - 3y = - 6 \\ - 3y = - 6 - x \\ \frac{ - 3y}{ - 3} = \frac{ - 6 - x}{ - 3} \\ y = 2 - x \\or \\ y = - x + 2$

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Cerrena [4.2K]

Answer:

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Step-by-step explanation:

You can observe the sides of both triangles to see if this property holds

Lets check the length of AB

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$AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\\\\AB=\sqrt{(0-0)^2+(-1-3)^2} \\\\\\\\AB=\sqrt{0^2+-4^2} \\\\\\AB=\sqrt{16} =4units$

Now check the length of the corresponding side DE

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$DE=\sqrt{(1-1)^2+(-2-2)^2} \\\\\\DE=\sqrt{0^2+-4^2} \\\\\\DE=\sqrt{16} =4units$

The side AB has the same length as side DE.This is also true for the remaining corresponding sides.

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