SOLUTION: I have two questions: Solve the system and find the point of the intersection. The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8.

Question 255100: I have two questions:
Solve the system and find the point of the intersection.
The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8.

Thanks in Advance
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
I will answer one for you.
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a+b=2
a-b=8
add the two equations
2a=10
a=5
b=-3

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have two questions:
Solve the system and find the point of the intersection.
The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8.
---
x + y = 2
x - y = 8
---
Add and solve for "x":
2x = 10
x = 5
---
Since x + y = 2, y = 2-5 = -3
--------------------------------------
The sum of three times a first number and twice a second number is 8. If the second number is subtracted from twice the first number, the result is 3.
3x + 2y = 8
2x - y = 3
------
y = 2x-3
Substitute for "y" and solve for "x":
3x + 2(2x-3) = 8
3x + 4x - 6 = 8
7x = 14
x = 2
---
Since y = 2x-3
y = 2*2-3 = 1
====================
Cheers,
Stan H.

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