Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent.
Log in Willson Luo 6 years agoPosted 6 years ago. Direct link to Willson Luo's post “What if it had fractions?” What if it had fractions? • (6 votes) Hann 6 years agoPosted 6 years ago. Direct link to Hann's post “change fractions into who...” change fractions into whole numbers. remember, whenever you do something to one-side, you will have to do to another-side to maintain the balance (equivalent). For example, is A,B equivalent to C,D? Hope it helps! **I'm not a pro in Math, in fact, I've just started learning Math about 2 months ago. So, please elaborate if I said something wrong, thanks!** (21 votes) Frederick Donahey 7 years agoPosted 7 years ago. Direct link to Frederick Donahey's post “When we subtract or add o...” When we subtract or add one equation to the second equation in a system of equations, the sum or difference produces an entirely new line, a line with a new slope and y-intercept. This is contrary to my instincts because we are adding or subtracting equivalent values when we add or subtract the second equation from the first. Could you explain to me how we get an entirely unique line as a result? How is it that adding and subtracting equivalent values produces something new? • (11 votes) Brett Kottmann 5 years agoPosted 5 years ago. Direct link to Brett Kottmann's post “Watch this: https://www.k...” Watch this: https://www.khanacademy.org/math/algebra-home/alg-system-of-equations/alg-equivalent-systems-of-equations/v/why-we-do-the-same-thing-to-both-sides-basic-systems (6 votes) derek.downing 6 years agoPosted 6 years ago. Direct link to derek.downing's post “The process in which you ...” The process in which you determine which system of equations are equivalent is confusing. In the examples they tell you which systems are equivalent but it doesn't really explain how you can figure that out. • (9 votes) Brett Kottmann 5 years agoPosted 5 years ago. Direct link to Brett Kottmann's post “Equivalent systems have e...” Equivalent systems have either: the same lines (obviously); multiples of the original lines; or combinations of the original lines (adding or subtracting two original lines). (2 votes) raquekunz 5 years agoPosted 5 years ago. Direct link to raquekunz's post “"Replacing the first equa...” "Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:" • (5 votes) ralphngoubou 4 years agoPosted 4 years ago. Direct link to ralphngoubou's post “I think he meant "equival...” I think he meant "equivalent to System B" (2 votes) alexanderp6557 a year agoPosted a year ago. Direct link to alexanderp6557's post “Why, when you add/subtrac...” Why, when you add/subtract one equation from the other on, does it make an equation that is considered to be equal? • (1 vote) Kim Seidel a year agoPosted a year ago. Direct link to Kim Seidel's post “The properties of equalit...” The properties of equality allow us to add/subtract the same value to both sides of an equation and still have an equivalent equation. The 2 sides of an equation are equivalent. So, when you add/subtract one equation to another, you are adding/subtracting equal values (same values) to both sides of the equation. The values just don't look the same. Hope this helps. (8 votes) mgonzales 5 years agoPosted 5 years ago. Direct link to mgonzales's post “what do you do if you cli...” what do you do if you click the wrong one? :( • (4 votes) Conner 2 years agoPosted 2 years ago. Direct link to Conner's post “It's not a test so I just...” It's not a test so I just clicked the right one and then clicked check again. If you do that it doesn't even show you ever got it wrong. (2 votes) 124armnabi 6 months agoPosted 6 months ago. Direct link to 124armnabi's post “How can you tell whether ...” How can you tell whether or not an elimination process only replaces one side or both? • (2 votes) Jaakko Mäkinen 5 months agoPosted 5 months ago. Direct link to Jaakko Mäkinen's post “You simply do the same th...” You simply do the same thing for both sides. If there is an equal sign, then both sides should be equal. (3 votes) Mykhale Williams 5 years agoPosted 5 years ago. Direct link to Mykhale Williams's post “ayye....can any one help ...” ayye....can any one help me wth some steps to this...OH and my name is xxxevolution • (0 votes) AD Baker 5 years agoPosted 5 years ago. Direct link to AD Baker's post “XXevolution, This is th...” XXevolution, This is the end of the unit. Unless you can ask about specific steps, at this point, I would suggest that you go back through the videos and exercises. If you have a specific step on which you need help, please explain which step it is. (7 votes) Lee Grobler 3 years agoPosted 3 years ago. Direct link to Lee Grobler's post “Does anyone else also get...” Does anyone else also get the sense that the substitution method is a lot nicer (i.e. faster and takes less space on paper), but that unless they give one of the equations in point-intercept form (thus signaling that you should be using substitution over elimination), it just devolves into a mess of fractions that turn out to be uglier and harder to solve than elimination would've been in the first place? Far's I can tell if all the terms in at least one of the equations don't have a common denominator, it's definitely gonna devolve into a mess of fractions (coz you have to divide all the terms by the coefficient of one of the variables to isolate said variable, so if it doesn't evenly divide into the other variable AND ALSO into the constant, there'll obviously be fractions). Have I missed something? Has anyone else noticed this, and have you found a way around it, back into sweet substitution bliss? What're your thoughts? • (3 votes) Kim Seidel 3 years agoPosted 3 years ago. Direct link to Kim Seidel's post “No - You have not missed ...” No - You have not missed anything. (1 vote) Jeremy Chan 7 years agoPosted 7 years ago. Direct link to Jeremy Chan's post “This was not how I learne...” This was not how I learned it in class. Why does it say that only the solution needs to be the same for two systems of equations to be equivalent? How I learned it, the two systems need to be the same in order to be equivalent. If I learned it wrong please tell me but otherwise help me understand. • (2 votes) Orlando Pajon 6 years agoPosted 6 years ago. Direct link to Orlando Pajon's post “example: an equivalent s...” example: an equivalent system that consist of equation 2x+3y=5 could be any multiplication by any number of that equation, lets say for example if you want to multiply it by 3 then we get the second equation of the system to be 6x+9y=15 which is 3(2x+3y=5) (3 votes)Want to join the conversation?
----------------------------------------
A) -4x + 10y = 1
B) -5x - 11y = 7
----------------------------------------
C) -9x -y = 8
D) -5/10x +5/4y = 125/1000
----------------------------------------
like Khan always say, try to solve this yourself.
the answer is yes, these 2 systems are equivalent.
C is equivalent to A&B combined.
D times 8 is equivalent to A.
This sentence from example 2 makes no sense.
The more coefficients you have, then generally elimination method is easier because you don't have to deal with the fractions that arise from solving for an individual variable for the substitution method.
