Kara graphed the system of equations and stated that the solution is (4, –2). Check her solution algebraically.
http://static.k12.com/calms_media/media/1513500_1514000/1513726/3/3cfd8b97d4472c8271b1241c249881368509adee/MS_IMC-1400804-100533.jpg

Question

Kara graphed the system of equations and stated that the solution is (4, –2). Check her solution algebraically.
http://static.k12.com/calms_media/media/1513500_1514000/1513726/3/3cfd8b97d4472c8271b1241c249881368509adee/MS_IMC-1400804-100533.jpg

igreen · Answer

Well?

igreen · Answer

Oh, well we can plug in (4, -2) into both equations and see if it satisfies them.

anonymous · Answer

a. The graph of y=-x+2  is incorrect.
b.The graph ofy=1/2-4   is incorrect.
c.(–2, 4) is the solution to the system of equations
d.(4, –2) is the solution to the system of equation

igreen · Answer

$y = -x + 2$

$-2 = -4 + 2$

Add:

$-2 = -2$

So (4, -2) satisfies the first equation.

igreen · Answer

Now lets check the second equation.

$y = \dfrac{1}{2}x - 4$

$-2 = \dfrac{1}{2}(4) - 4$

Multiply:

$-2 = 2 - 4$

Subtract, what's 2 - 4?

anonymous · Answer

-2

igreen · Answer

Yep, and that gives us $-2 = -2$.

So (4, -2) satisfies both of the equations.

igreen · Answer

So what's your answer going to be?

anonymous · Answer

ok thank you

anonymous · Answer

I have the same question so the answer would be see right?? @iGreen. @iGreen

anonymous · Answer

Hold on.

anonymous · Answer

No, (4, -2) satisfies both of the equations. So therefore D is your answer..

anonymous · Answer

@LOLAri