Use the elimination method to solve the system of equations. choose the correct ordered pair. x – 3y = –19 2x + y = –3

The vertex is (-4,5). multiply the first equation by 2 and it will give you 2x-6y=-38. Then multiply the second equation by -1, and it will gives you -2x-y=3. cross off 2x and -2x, -6y-y=(-7y). -38+3=(-35). Now, you have -7y=-35, divide by -7, and you will get 5 for Y. Now to solve for X, all you have to do is to plug in the 5 to one of these equations. x-3(5)=-19, multiply the numbers -3x5=-15. x-15=-19, add 15 to both sides, you will get x=-4, and this is X. So the vertex is (-4,5) or X=-4 and Y=5.

The given equations are,

and

Multipying the second equation by 3 . we get,

Now, If we add both the sides of both the equations. we get,

or

Which implies,

Substituting the value of x in any of the above equations. We get,

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)