x + y = 9
y = 2x
Place the 2nd equation into the first in place of y
x + (2x) = 9
Simplify
3x = 9
Divide on both sides
x = 3
Now we have to find y, so plug x into the 2nd equation
y = 2(3)
Multiply
y = 6
Now put x and y into point form (x,y)
(3,6)
x + y = 9
y = 2x
Place the 2nd equation into the first in place of y
x + (2x) = 9
Simplify
3x = 9
Divide on both sides
x = 3
Now we have to find y, so plug x into the 2nd equation
y = 2(3)
Multiply
y = 6
Now put x and y into point form (x,y)
(3,6)
x+y=9 y=2x
Subbing the second equation into the first for y, we have
x + (2x) = 9 simplify
3x = 9 divide by 3 on both sides
x = 3
And y = 2x = 2(3) = 6
So....our solution is
(3, 6)