Solve Ax + By = C for x. 1. x equals the quantity negative B times y plus C all over A
2. x equals the quantity B times y plus C all over A
3. x equals the quantity B times y minus C all over A
4. x equals the quantity negative B times y minus C all over A

x equals the quantity negative B times y plus C all over A

Step-by-step explanation:

First I like to translate the words into the actual equations they represent...

so...

1. x = (-By + C) / A

2. x = (By + C) / A

3. x = (By - C) / A

4. x = (-By - C) / A

To solve:

starting equation is

Ax + By = C

so to get x by itself you first subtract By from both sides of the equation

Ax = -By + C

and then divide by A

x = (-By + C) / A

which matches the first answer

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

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