The coordinates (x,y). It is the point of intersection.
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
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.
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.
In two dimensions, parallel ones. In three dimensions, either parallel or skew ones.
It really depends on the type of equation. Sometimes you can know, from experience with similar equations. But in many cases, you have to actually do the work of trying to solve the equation.
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.
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.
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.
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.
We do not do your homework for you because that would be cheating.
That would be the "solution" to the set of equations.
would you add any steps to make it easier or to make it easier to understand
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.
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.
X would be the metal in Ionic Formulas. These equations you will be solving for X and X alone every time.
Because without it, the foundations of mathematics would crumble down at your feet. So believe it, mothafawka.
The difference is that first you have to understand the problem and translate it into an equation (or equations).