Log in yanicknorman 9 years agoPosted 9 years ago. Direct link to yanicknorman's post “What is system?” What is system? • (33 votes) Minnoc 3 years agoPosted 3 years ago. Direct link to Minnoc's post “A "system" of equations i...” A "system" of equations is a set or collection of equations that you deal with all together at once. (11 votes) ashantiharrisalgebra 12 years agoPosted 12 years ago. Direct link to ashantiharrisalgebra's post “would this work for a qua...” would this work for a quadratic equation? • (33 votes) Leigh, Daniel; 200409266 7 years agoPosted 7 years ago. Direct link to Leigh, Daniel; 200409266's post “Yes because you will wan...” Yes because you will want you to check to see if you have the right solution. (9 votes) Leslie Ganzwa 8 years agoPosted 8 years ago. Direct link to Leslie Ganzwa's post “Does a single linear equa...” Does a single linear equation with two or more unknowns always have infinitely many solutions • (14 votes) Alex 8 years agoPosted 8 years ago. Direct link to Alex's post “Yes, that's right. You co...” Yes, that's right. You could choose whatever values you like for all but one of the variables, and then final variable can always be made to fit. (24 votes) jeremy jones 5 years agoPosted 5 years ago. Direct link to jeremy jones's post “im stupid i dont get this” im stupid i dont get this • (9 votes) HRSH. 5 years agoPosted 5 years ago. Direct link to HRSH.'s post “Bro chill. A solution of ...” Bro chill. A solution of an equation is when both sides (i.e., LHS and RHS) become equal. What do you need to do to make both sides equal? Well, you need to find some values for X and Y so that they become equal when you plug X values wherever X and Y are. Here, some of the solutions are given, but we need to check after plugging them in it makes both sides of the equation equal. (like 1 = 1 , 2 = 2, BUT if you get 1 = 2, or 3 = 4 it is clear that it is false and hence the values of X or Y or both are wrong and hence, not the solution[s] ) (14 votes) Leigh, Daniel; 200409266 7 years agoPosted 7 years ago. Direct link to Leigh, Daniel; 200409266's post “Would this work for quadr...” Would this work for quadratic equations? • (7 votes) David Severin 7 years agoPosted 7 years ago. Direct link to David Severin's post “Since you are testing the...” Since you are testing the point for each equation independent of each other, it would work for any function. If you have two quadratic equations, there is also a possibility of having two different intersections, not just one. (14 votes) Sara Velasco 8 years agoPosted 8 years ago. Direct link to Sara Velasco's post “I have perfectly parallel...” I have perfectly parallel lines, so is there a solution? I can't figure out this problem. • (7 votes) KathyC 8 years agoPosted 8 years ago. Direct link to KathyC's post “Parallel lines will never...” Parallel lines will never cross so a system of parallel lines will have no solution. (14 votes) mwp07 4 years agoPosted 4 years ago. Direct link to mwp07's post “is it just me or am i jus...” is it just me or am i just really dumb? nothing makes sense • (8 votes) Kim Seidel 4 years agoPosted 4 years ago. Direct link to Kim Seidel's post “By now you should be fami...” By now you should be familiar with the concept of testing solutions to equations by using substitution. If you are asked if a point is a solution to an equation, we replace the variables with the given values and see if the 2 sides of the equation are equal (so is a solution), or not equal (so not a solution). A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system. Hope this helps. (6 votes) joseline.ramirez 5 years agoPosted 5 years ago. Direct link to joseline.ramirez's post “can u make an example mo...” can u make an example more easier • (5 votes) Kim Seidel 5 years agoPosted 5 years ago. Direct link to Kim Seidel's post “The example in the video ...” The example in the video is about as simple as it gets. Neither equation has fractions or decimals. The video is show you how to determine if an ordered pair (a point) is a solution to a system of equation. Sal has one point that he is testing to see if it is a solution to the system. In order for this to be true, the point must work in both equations (i.e., the 2 sides of each equation come out equal). He does the test by substituting the values from the ordered pair into each equation and simplifying. Hope this helps. (7 votes) sophia gonzalez 4 years agoPosted 4 years ago. Direct link to sophia gonzalez's post “i dont understand math im...” i dont understand math im confused • (7 votes) D$ 7 months agoPosted 7 months ago. Direct link to D$'s post “Math uses knowlegde to pe...” Math uses knowlegde to percilcoly explain how to solve problems (1 vote) 201143792 3 months agoPosted 3 months ago. Direct link to 201143792's post “the only thing I understo...” the only thing I understood was "NO" • (5 votes) vbal a month agoPosted a month ago. Direct link to vbal's post “let's say you have (1,2) ...” let's say you have (1,2) and the thingy is like 2x+4y=10 or something the first one is x so x is one and 1 x 2 is 2, now we move on to the last cornet 2 where count that as Y so sense y=2 4x2=8 then you just add 2+8 and ya get ten, I know I suck at giving advice but I tried XD (1 vote)Want to join the conversation?
For example, if you had the equation ax + by + cz = k
, then whatever you pick for y
and z
, you can solve for x
to get x = (k - by - cz)/a
, and the equation will be satisfied.
As a reminder, parallel lines have the exact same slope.
-- The point works in the 1st equation.
-- The point did not work in the 2nd equation.
This tells us the point in on the line created by the first equation, but it is not a point on the line created by the 2nd equation. Remember, to be solution to the system, the point must work for both equations. Since it didn't, the point is not a solution to the system.
Testing a solution to a system of equations (video) | Khan Academy (2024)
References
- https://math.libretexts.org/Bookshelves/Algebra/Advanced_Algebra/06%3A_Solving_Equations_and_Inequalities/605%3A_Solving_Quadratic_Inequalities
- https://www.intmath.com/differential-equations/6-rc-circuits.php
- https://courses.lumenlearning.com/calculus2/chapter/solving-the-logistic-differential-equation/
- https://openstax.org/books/prealgebra-2e/pages/2-3-solving-equations-using-the-subtraction-and-addition-properties-of-equality
- https://math.libretexts.org/Courses/Coastline_College/Math_C045%3A_Beginning_and_Intermediate_Algebra_(Tran)/09%3A_Rational_Expressions_and_Functions/9.07%3A_Solve_Rational_Inequalities
- https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/v/testing-a-solution-for-a-system-of-equations
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