solve each system by elimination
x+y=10
x-y=2
They can't get any easier than that
Just add them
Try it .....
I was confused somewhat more difficult
To solve this system of equations by elimination, we want to eliminate one variable by adding or subtracting the two equations.
Given the system:
x + y = 10 ----(1)
x - y = 2 ----(2)
To eliminate the y variable, we can add equation (1) and equation (2) together.
Adding the two equations:
(x + y) + (x - y) = 10 + 2
This simplifies to:
2x = 12
Now, to solve for x, divide both sides of the equation by 2:
2x/2 = 12/2
x = 6
Now that we have the value of x, we can substitute it back into one of the equations to solve for y. Let's use equation (1):
x + y = 10
Substitute x = 6:
6 + y = 10
Subtract 6 from both sides:
y = 10 - 6
y = 4
Therefore, the solution to the system of equations is x = 6 and y = 4.