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 6 years agoPosted 6 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 6 years agoPosted 6 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 6 years agoPosted 6 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 17 days agoPosted 17 days 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.
FAQs
What is the solution to the system of equations answers? ›
The solution set to a system of equations will be the coordinates of the ordered pair(s) that satisfy all equations in the system. In other words, those values of x and y will make the equations true. Accordingly, when a system of equations is graphed, the solution will be all points of intersection of the graphs.
How do you test a solution to a system of equations? ›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.
How to check your answer when solving a system of equations? ›To check a system of equations by substitution, you plug your values for x and y into the original equations. If both simplified expressions are true then your answer is correct.
How do I test my solution to an equation? ›Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true, the number is a solution.
What is the easiest way to solve system of equations? ›The Matrix method is the easiest way to solve a set of linear equations, because it is straightforward and a step-by-step method, and it boils down to the same thing as the elimination method that most people are familiar with.
What is the solution to the system of equations y =- 3x 2 5x 2y 15? ›Summary: The solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).
How do you prove a solution to a system of equations? ›We can verify the solution by substituting the values into each equation to see if the ordered pair satisfies both equations.
What does no solution look like? ›An equation has no solution if solving it leads to a false statement, such as 0 = 5. There are three ways to tell if a system of equations has no solution: 1) Graphically: there is no point at which all of the functions intersect. 2) Algebraically: solving the system leads to a false statement, such as 0 = 5.
How do I tell how many solutions a system of equations has? ›A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
How to find solution set for system of equations? ›To solve a system of equations by graphing, graph all the equations in the system. The point(s) at which all the lines intersect are the solutions to the system. Graph of System Since the two lines intersect at the point (1, 1), this point is a solution to the system.
What is the solution for the equation? ›
A solution of an equation is any value of the variable that satisfies the equality, that is, it makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation the same value. To solve an equation is to find the solution(s) for that equation.
Which answer can be used to find the solution to the system of equations? ›Substitution Method
To solve a system of equations by substitution, solve one of the equations for a variable, for example x. Then replace that variable in the other equation with the terms you deemed equal and solve for the other variable, y. The solution to the system of equations is always an ordered pair.
Solution testing underpins customer experience, user experience and quality of function. A complex solution needs professional, fit for purpose, solution testing. Testing delivered by a team that understands the domain, knows how the solution might be used, is technically aware and technically capable.
Which point is a solution to the system? ›In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.
What is the solution to this system of linear equations y − 4x 7 2y 4x 2? ›Expert-Verified Answer
So, the solution to the linear equation y – 4x = 7 and 2y + 4x = 2 is (-1, 3). To solve the linear equations in two variables is by adding both the equation. Then, substitute the value of y in equation (1). Hence, the solution to the linear equation is (-1, 3).
The solution to this system of linear equations 2x+3y=3 and 7x-3y=24 is (3, -1).
What is the solution to this system of linear equations 3x 2y 14 5x y 32? ›Summary: The solution to this system of linear equations 3x – 2y = 14 and 5x + y = 32 is (x, y) is (6, 2).
What is the solution to the system of equations 2x y 7 y 2x 3 2 3 2 7? ›Summary: The system of equations 2x - y = 7 and y = 2x + 3 has no solution.