algebra 2 equation!!!solve!!!!!?

Question

Determine whether the point is a solution to the system of equation.
( - 3, - 4)
4x-7y=16
-6x+y=14



Please show all work and thank you for taking the time to solve this equation.

Answer 1

(x,y) x= -3, y=-4

4(-3) -7(-4)=16
-12 +28 =16
16=16 -> point is solution of the system

-6(-3)+(-4)=14
18-4=14
14=14 -> point is solution of the system

Answer 2

The easiest way to the check if the given point is a solution to either or both equations is just to plug them in. The set up of an ordered pair is (x, y), so in this case the -3 should replace all the x-values and -4 should be inserted in place of the y-values:

4x - 7y = 16
4(-3) - 7(-4) = -12 + 28 = 16

-6x + y = 14
-6(-3) + (-4) = 18 - 4 = 14

Since the point gives you the indicated solution, then it works as a solution for the system of equations. Hope that helps!

Answer 3

It's not rocket science. Just plug in the x value in for the "x" in the equations. And plug in the y value for the "y" in the equations.

I'm not showing the work, do it yourself. But yes, it is a solution to the "system of equations".

Answer 4

test a solution by plugging it into the equation to see if it turns out true:

4(-3) - 7(-4) =? 16
-12 + 28 =? 16
16 = 16 .....................OK 1st equation

-6(-3) + (-4) =? 16
18 - 4 =? 16
14 <> 16 ..................not OK 2nd equation
so not a solution to the system.

Answer 5

This is a Glade air freshener problem -- plug it in, plug it in!!

Can x be -3 and y be -4??? plug those values in and see if it indeed equals 16 in the first equation and 14 in the second.

If it is, then it is a solution. If not, it's not.

Answer 6

4*-3 - 7*-4 = 16

-6*-3 + -4 = 14

yes

Answer 7

4(-3) - 7(-4)
= -12 - (-28)
=28 - 12
16 (yes)

-6(-3) + (-4)
=18 - 4
14 (yes)

Answer 8

fill in values of x,y into the equation and see that easy

Answer 9

(x - y^5)^3 = x^3 - 3x^2y^5 + 3xy^10 - y^15