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Question 444214: WHAT IS THE ANSWER TO 2Y=4X-16 5Y=4X+8
Answer by Leaf W.(135)   (Show Source):
You can put this solution on YOUR website! 1. Make sure one of the variables has the same or opposite coefficient between the two equations (for example, 4x and 4x or 7y and -7y). Since your equations both have 4x, you can skip this step.
2. Make sure your equations are in the same format. Yours already are (?y = ?x + ?), so you can skip this step as well.
3. Subtract (if your coefficients in Step #1 were the same) or add (if the coefficients in Step #1 were opposites) the two equations. Since your coefficients (4 and 4) were the same, you subtract in order to get rid of the x.
5y = 4x + 8
-(2y = 4x - 16)
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3y = 0x + 24
3y = 24
4. Solve for the remaining variable (in your case, y).
3y = 24
Divide both sides by 3: y = 8
5. Plug the result into either one of the equations (it doesn't matter which one) and solve for the other variable (in your case, x).
2y = 4x - 16
2(8) = 4x - 16
16 = 4x - 16
Add 16 to both sides: 32 = 4x
Divide both sides by 4 to isolate the x: 8 = x
6. Therefore, your y-coordinate is 8 and your x-coordinate is 8. You can write this as the coordinate (8,8).
7. Your final answer is (8,8).
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