SOLUTION: Please help me with this problem, I dont understand how to figure it out. Thank you. Please break it down for in simple terms. Solve the system of equations using the addition

Algebra ->  Linear-equations -> SOLUTION: Please help me with this problem, I dont understand how to figure it out. Thank you. Please break it down for in simple terms. Solve the system of equations using the addition       Log On


   

Question 77944: Please help me with this problem, I dont understand how to figure it out. Thank you. Please break it down for in simple terms.
Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 3y = 3
-10x + 6y = -4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this system by the addition method, we simply add the 2 equations. However, we want to eliminate a variable (lets choose x), so we must multiply the top equation by 2 


     2(5x – 3y) = 2(3)
    -10x + 6y = -4

Distribute the 2 


     10x – 6y =  6
    -10x + 6y = -4

Now add the like terms of the 2 equations. For instance we'll add 10x and -10x to get 10x%2B%28-10x%29=0x. Do this for every like term 


    (10x+(-10x)) + (6y+(-6y)) = 6+(-4)





    0x + 0y = 2

So we get 


    0=2

which is not true. So this means for any x we choose, this system will never be satisfied. So there are no solutions