Question 565099: y=4x-2
y=-2x+4
Answer by Leaf W.(135)   (Show Source):
You can put this solution on YOUR website! 1. First, change the equations so that if one is either added or subtracted from the other, one of the variables (x or y) would cancel out. For example, you might change 2y = x - 4 to 4y = 2x - 8 so that when added to -4y = 3x + 7, the 4y and -4y would cancel out. In your equations, this is not necessary because when y and y are subtracted, they cancel one another out.
2. Subtract/add your equations. In your case, you would subtract so that the y's would cancel out.
y = 4x - 2
-(y = -2x + 4)
==> 0 = 6x - 6
3. Find the value of the non-canceled out variable.
0 = 6x - 6
+6 +6
6 = 6x
1 = x
4. Plug this value for x into one of the equations (it does not matter which one) and solve for y.
y = 4x - 2
y = 4(1) - 2
y = 4 - 2
y = 2
5. You now have your x and y values. Simply plug them into coordinate form (x,y) for your answer. ==> (1,2)
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