SOLUTION: Please help me understand how to solve these equations by the addition method. Many thanks. 2x = 2-y 3x + y = -1

Algebra.Com
Question 335640: Please help me understand how to solve these equations by the addition method.
Many thanks.

2x = 2-y
3x + y = -1
Found 3 solutions by Fombitz, ankor@dixie-net.com, MarionR55:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

1.
2.
Add eq. 1 and eq. 2 to eliminate ,



Then use either equation to solve for .
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
2x = 2 - y
3x + y = -1
:
We want both equation in the standard form (like the 2nd equation)
Put the 1st equation in the standard form
2x = 2 - y
add y to both sides and you have
2x + y = 2; the standard form
:
2x + y = 2
3x + y = -1
:
multiply the 1st equation by -1, then we can use the addition method
-2x - y = -2
+3x + y = -1
------------------addition eliminates y, find x
x = -3
:
Use the original 2nd equation to find y,
3x + y = -1
Replace x with - 3
3(-3) + y = -1
-9 + y = -1
add 9 to both sides
y = -1 + 9
y = 8
:
Check our solutions in the original 1st equation
2x = 2 - y
Replace x with -3 and y with 8
2(-3) = 2 - 8
-6 = -6, equality confirms our solution of x=-3, y=8
:
:
Did this help you understand this method??
Answer by MarionR55(1)   (Show Source): You can put this solution on YOUR website!
2x = 2-y
3x + y = -1
move everything to the left hand side of the equation
2x + y - 2 = 0
3x + y + 1 = 0
now you want to add the lines together to get rid of the y yet they are bot positive so multiply by -1
-2x -y + 2 = 0
3x + y + 1 = 0 now add the lines together
______________
x + 3 = 0 solve for x
x= -3 now substitute -3 back in to the above equations and solve for y
RELATED QUESTIONS

Please help me understand how to solve these equations by the addition method. Many... (answered by Fombitz)
can someone show me how to solve by addition method... 2x=2-y... (answered by sdmmadam@yahoo.com)
Please help me solve this equation: Solve each system addition. Determine whether the... (answered by mananth)
If anyone could please help me to solve these four problems it would be awesome! I am... (answered by Alan3354)
If anyone could please help me to solve these four problems it would be awesome! I am... (answered by stanbon)
Please help!!! I don't understand any of this. Any assistance you can provide will be... (answered by funmath)
Hello, I would like to know if someone can help me figure out how to do this type of... (answered by Ashley1516)
SOLVE THE FOLLOWING SYSTEM (USE THE METHOD YOU PREFER, WHETHER ITS SUBSTITUTION OR... (answered by stanbon)
Hello, I have 4 differnt problems that deal with Substitution Method & Addition Method... (answered by ankor@dixie-net.com)