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

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) (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 . 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
RELATED QUESTIONS
Can you please break down this math problem for me in steps so that i can figure out how... (answered by richwmiller)

Greetings! Okay, who can help me understand word problems? I really need to know how to... (answered by venugopalramana)

Hi Dear Tutor, Please Please Please Help me with this awful problem!!!! I can't... (answered by ankor@dixie-net.com)

Hello, Here is the question that I have to answer. I am totally lost!! I have read the... (answered by Alan3354)

I do not understand how they got the answer for this problem. {{{x+h}}}3 The answer is (answered by rmromero)

I do not understand how they got the answer for this problem. {{{x+h}}}3 The answer is (answered by ankor@dixie-net.com)

I do not understand how they got the answer for this problem. (x+h)^3 The answer is... (answered by checkley71)

Hello tutor, please help me with this problem. sqrt(5) / 5 sqrt(45) i solved it... (answered by mananth)

2{{{1/2}}} OVER x = {{{10/3}}} 2{{{1/2}}} is the numerator and x is the denomanator, I (answered by edjones,josmiceli)