Use elimination to solve the system of equations given by -7x + 3y = 14 and 7x - 2y = -14.

The coefficients of x are already opposites, so you can simply add the two equations to eliminate x.

... (-7x +3y) + (7x -2y) = (14) + (-14)

... y = 0 . . . . . . . simplify

... -7x + 3·0 = 14  . . . . substitute the value of x into the first equation

.. x = 14/(-7) = -2

The solution is (x, y) = (-2, 0).

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.

i can answer this question sweetie!

step-by-step explanation: