SOLUTION: Hi I need help with this problem: The directions say to find the solution by the addition method. -x+y=2 x+y=4 If you could show how it is done I would appreciate it. Thank you

Question 10482: Hi I need help with this problem: The directions say to find the solution by the addition method.
-x+y=2
x+y=4
If you could show how it is done I would appreciate it. Thank you..
Answer by WannabeCAgirl83(35) (Show Source): You can put this solution on YOUR website!
1) - x + y = 2
2) x + y = 4

0 + 2y = 6 → I added equation 1) to equation 2): -x+x=0, y+y=2y, 2+4=6
2y = 6 | :2 on both sides
y = 3 → Now you subsitute y with 3 in equation 2):

x + y = 4
x + 3 = 4 | -3 on both sides
x = 1 → To varify this solution you do the same in equation 1):

-x + y = 2
-x + 3 = 2 | -3 on both sides
-x = -1 | : -1
x = 1 → The solution is varified.

You're welcome. :-)

RELATED QUESTIONS
I need help with this...Thank you..:) Page 490 Number 6 I have to find the... (answered by vleith)

Can you please help me with this problem? The directions say to find the real solutions... (answered by solver91311)

Hello, I have 4 differnt problems that deal with Substitution Method & Addition Method... (answered by ankor@dixie-net.com)

i need help with- x+y=9 y=2x when the directions say solve by graphing and... (answered by gonzo)

Hi I need a little help with this problem. The directions are to find the LCD and do not... (answered by rapaljer)

Please help me to find the solution set(s) to this problem using Addition Method. Thank... (answered by ankor@dixie-net.com)

Hi. What does it mean when the directions say, ''Identify the slope and y-intercept of... (answered by Edwin McCravy)

Am I asking this correctly? The directions say: Use the substitution method to solve... (answered by stanbon)

Hi I need help with rational equations. The Directions say to Factor First then solve the (answered by ptaylor)