OpenStudy (anonymous):

For which system of equations is (–2, 2) the solution? A. 3x – 5y = –16 –2x + 3y = 10 B. –4x + 2y = 6 2x – 3y = 10 C. 4x + 3y = 2 5x + 4y = –2 D. 6x + 5y = –2 –8x + 5y = –6

OpenStudy (anonymous):

substitute x=-2 into the equations

OpenStudy (anonymous):

if u get y=2,that will be ur correct equation

OpenStudy (anonymous):

Let's check one by one

OpenStudy (anonymous):

Option A...

OpenStudy (anonymous):

$3x-5y=-16$$-2x+3y=10$

OpenStudy (anonymous):

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OpenStudy (anonymous):

substitute x=-2 into the equation

OpenStudy (anonymous):

$3(-2)-5y=-16$$-2(-2)+3y=10$

OpenStudy (anonymous):

if u get y=2,that equation is correct

OpenStudy (anonymous):

$-6-5y=-16$$4+3y=10$

OpenStudy (anonymous):

i know it not B bc it just doesn't have y=2

OpenStudy (anonymous):

$-5y=-16+6$$3y=10-4$$-5y=-10$$3y=6$$y=2,y=2$

OpenStudy (anonymous):

its C!

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

Option B...

OpenStudy (anonymous):

$-4x+2y=6$$2x-3y=10$$-4(-2)+2y=6$$2(-2)-3y=10$

OpenStudy (anonymous):

$8+2y=6$$-4-3y=10$

OpenStudy (anonymous):

its A?

OpenStudy (anonymous):

$2y=6-8$$-3y=10+4$

OpenStudy (anonymous):

yep :)

OpenStudy (anonymous):

thank you so much!

OpenStudy (anonymous):

yw!