Solve the system of equations -8x-6y=58 and x-y=9

Step-by-step explanation:

By steps in the image:

Step 1:

To eliminate, you need one of the coefficients to be the same in both equations. We will use the term "-6x" found in the first equation.

To get this, multiply the entire second equation by 6 and simplify using the distributive property. The new equation is:

Step 2:

Now you need to subtract the first equation and the new version of the second equation. By doing this, the "-6x" in both equations will cancel each other out.

Step 3:

Solve for x in the given equation by:

Step 4:

Solve for y by:

Solution:

:Done

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'.