How do i solve this using elimination

There are a number of ways you can solve this using elmination. The basic idea is to multiply one or both of the equations by something so that the coefficients of one of the variables is the same or opposite in the two resulting equations.

Here, this could mean you multiply the second equation by 2 to make the y-coefficient -2, which is the opposite of the y-coefficient in the first equation, 2.

I like better the idea of dividing the first equation by 2. This also makes the y-coefficient the opposite of its value in the second equation. Now, your equations are

Adding these two equations gives

The second equation can be rearranged to tell you

... y = x - 13

so, for x=6, this gives

... y = 6 - 13 = -7

Your solution is (x, y) = (6, -7).

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Since we used the second equation to get the value of y from x, we know these values satisfy that one. We can check them in the first equation:

... 4·6 + 2·(-7) = 24 - 14 = 10 . . . . . values also satisfy the first equation

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

step-by-step explanation: