Is (2, 5) a solution to this system of equations?
6x + y = 17
3x + 14y = 16
yes or no

Putting the value of x= 2 in the first equation,

6(2)+y= 17

y= 17-12 = 5

This value is same as the value for y given in the question.

Therefore, it satisfies the equation.

Again, putting the value of x= 2 in the second equation,

3(2)+14y= 16

14y= 16-6 = 10

y= 10/14 = 5/7

It doesn't satisfies the 2nd equation

Hence, (2,5) is not the solution to this system.

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.