x+3y=8
-x+6y=10
solve by the elimination method
To solve the system of equations by elimination, we can add the two equations together to eliminate the x terms.
x + 3y + (-x + 6y) = 8 + 10
The x term cancels out, and we are left with:
9y = 18
To isolate y, divide both sides of the equation by 9:
9y/9 = 18/9
y = 2
Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's substitute it into the first equation:
x + 3(2) = 8
Simplify:
x + 6 = 8
Subtract 6 from both sides:
x = 8 - 6
x = 2
Therefore, the solution to the system of equations is x = 2 and y = 2.