answersLogoWhite

0

The coordinates (x,y). It is the point of intersection.

User Avatar

Wiki User

13y ago

What else can I help you with?

Continue Learning about Algebra

Can I and how would I solve 5x 6y-23 and 2x-5y13 (system of equations) without using a calculator?

Without any equality signs and not knowing some of the minus or plus values of the given terms we can't considered it to be a system of simultaneous equations but if you meant: 5x+6y = -23 and 2x-5y = 13 then by multiplication, elimination and substitution the values of x and y work out as x = -1 and y = -3


When solving systems of linear equation's when would you get no solution as an answer?

You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.


Does the graph of a system of equations with different slopes have no solutions?

The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.


If a system of equation is inconsistent that means that the graphs of the two equations do not have any points in common what types of lines would be the result of an inconsistent system of equations?

In two dimensions, parallel ones. In three dimensions, either parallel or skew ones.


How would you know if a linear system has a solution?

One way is to look at the graphs of these equations. If they intersect, the point of intersection (x, y) is the only solution of the system. In this case we say that the system is consistent. If their graphs do not intersect, then the system has no solution. In this case we say that the system is inconsistent. If the graph of the equations is the same line, the system has infinitely simultaneous solutions. We can use several methods in order to solve the system algebraically. In the case where the equations of the system are dependent (the coefficients of the same variable are multiple of each other), the system has infinite number of solutions solution. For example, 2x + 3y = 6 4y + 6y = 12 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. Try to solve this system of equations, 2x + 3y = 6 4x + 6y = 7 If you use addition or subtraction method, and you obtain a peculiar result such that 0 = 5, actually you have shown that the system has no solution (there is no point that satisfying both equations). When you use the substitution method and you obtain a result such that 5 = 5, this result indicates no solution for the system.

Related Questions

When using elimination to solve a system of equations how would you recognize it has no solution?

If in the course of your elimination you come across a clearly untrue statement such as 0 = 2, it indicates that there is no solution. For example, let's pick a simple system. x = 9 x = 0 If we use elimination by multiplying the bottom equation by -1 to eliminate the x's then add the two equations together, we will end up with 0 = 9 which is clearly an untrue statement. Therefore the two equations (actually parallel lines) have no solution.


Which ordered pair is the solution to the system of linear equations mc005-1jpg and mc005-2jpg?

To determine the solution to the system of linear equations represented by mc005-1jpg and mc005-2jpg, you would need to solve the equations simultaneously. This typically involves methods such as substitution, elimination, or graphing. Without the specific equations, I cannot provide the ordered pair. Please share the equations for a precise solution.


What would you need to help you with it comes to solving equations?

When solving equations remember that whatever operations are performed on the LHS of the equation must be performed on its RHS to keep the equation in balance.


Which method would be best for solving the system x 8y plus 5 and 3x - 2y 11?

If you mean: x = 8y+5 and 3x-2y = 11 then the simultaneous equations can be solved by a process of elimination. -------------------- Since the first equation is solved for x, substitution should be easy. There is no "right" answer to this question - it depends on your taste and experience.


When solving a system by multiplying and then adding or subtracting how do you decide whether to add or subtract?

When solving a system of equations by multiplying and then adding or subtracting, you decide whether to add or subtract based on the coefficients of the variables you want to eliminate. If the coefficients of one variable are opposites (e.g., +3 and -3), you would add the equations to eliminate that variable. Conversely, if the coefficients are the same (e.g., +3 and +3), you would subtract one equation from the other to eliminate the variable. The goal is to simplify the system and isolate one variable for easier solving.


Solve linear equations with complex coefficients on both sides?

You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.


What are the answers to the math paper called solving equations with negative variables?

We do not do your homework for you because that would be cheating.


What is an ordered pair that makes all equations in a system true?

That would be the "solution" to the set of equations.


Which equation shows the correct substitution for the following system?

To provide the correct substitution for a given system of equations, I would need the specific equations from that system. Typically, you would solve one of the equations for one variable and then substitute that expression into the other equation. If you can provide the equations, I can help you determine the correct substitution.


How many solutions would you expect for this system of equations?

To determine the number of solutions for a system of equations, one would typically analyze the equations' characteristics—such as their slopes and intercepts in the case of linear equations. If the equations represent parallel lines, there would be no solutions; if they intersect at a single point, there is one solution; and if they are identical, there would be infinitely many solutions. Without specific equations, it's impossible to provide a definitive number of solutions.


What is the answer to the systems of equations 2x plus y equals 6 6x plus 3y equals 18?

2x + y = 66x + 3y = 18Usually you can use elimination, substitution, graphing, matrices, etc. to find the answer to this system. If you use any of these methods (elimination and graphing in particular) you will see that these two equations are actually the same: multiply the first equation by three and you will see what I mean.So picture it: graphing this system would essentially be drawing the same line twice. The two lines always overlap, so the equations share infinite solutions. Therefore the solution to the system is the whole line, or all the (x, y) points that satisfy 2x + y = 6.


Solve this system of equations using the addition method x plus y equals 6?

When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.