<span>1 2 3 4 6 9 12 18 27 36 54
so
1x108
2x54
3x36
4x27
6x18
9x12
</span>
Answer:
(x, y) = (4, 1)
Step-by-step explanation:
The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:
(-2x +y) -(-2x -4y) = (-7) -(-12)
5y = 5 . . . . . . . . simplify
y = 1 . . . . . . . . divide by 5
-2x +1 = -7 . . . . . substitute for y in the first equation
-2x = -8 . . . . . subtract 1
x = 4 . . . . . . divide by -2
The solution is (x, y) = (4, 1).
_____
A graphing calculator easily verifies the solution.
Y = x +2
You would find this by finding the slope first. Slope is (y2 - y1) / (x2-x1) = (6-2) / (4-0) or 4/4 = 1. the slope is 1. From the point (0, 2) you can tell that the y intercept is 2. Therefore you get the equation y = x+2