2X + 6Y = 12
3X + 9Y = 18
try elimination
- 3(2X + 6Y = 12)
2(3X + 9Y = 18)
- 6X - 18Y = - 36
6X + 18Y = 36
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I will say this system is dependent and an infinite number of solutions can be found.
well there are many equations actually.
Although there is no graph, the number of solutions is 0.
Two. One in which C is acute and one where it is obtuse.
There are many linear equations that equal 91! For instance, 2x + 4 = 91 and 3x + 5 = 91 Too many equations.. The question needs revision!.
It depends on how I is defined.
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
10.
A system of equations is a set of two or more equations that share common variables. The solutions to the system are the values of the variables that satisfy all equations simultaneously. Systems can be classified as consistent (having at least one solution) or inconsistent (having no solutions), and they can also be classified based on the number of solutions, such as having a unique solution or infinitely many solutions.
To find the solution of two equations graphed on a coordinate plane, look for the point where the two lines intersect. This point represents the values of the variables that satisfy both equations simultaneously. The coordinates of this intersection point are the solution to the system of equations. If the lines are parallel, there is no solution; if they are the same line, there are infinitely many solutions.
Two or more linear equations are commonly referred to as a "system of linear equations." This system can involve two or more variables and is used to find the values that satisfy all equations simultaneously. Solutions to such systems can be found using various methods, including graphing, substitution, and elimination. If a solution exists, it can be unique, infinitely many, or none at all, depending on the relationships between the equations.
An equation with infinitely many solutions typically occurs when it represents a relationship that can be satisfied by numerous values. For instance, the equation (y = 2x + 3) defines a straight line on a graph, meaning any point (x, y) that lies on that line is a solution. Similarly, equations like (0 = 0) or (x - x = 0) have infinite solutions because they are true for all values of the variables involved. In essence, these equations do not restrict the values that can satisfy them.
A set of two or more equations that contain two or more variables is known as a system of equations. These equations can be linear or nonlinear and are solved simultaneously to find the values of the variables that satisfy all equations in the system. Solutions can be found using various methods, such as substitution, elimination, or graphing. If the system has a unique solution, it means the equations intersect at a single point; if there are no solutions or infinitely many solutions, the equations may be parallel or coincide, respectively.
well there are many equations actually.
Although there is no graph, the number of solutions is 0.
The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
The equations are identical in value, ie the second is merely twice the first...
You cannot solve this equation without some more information. The value of y depends upon the value of x, but they could take infinitely many different values. Maybe this is just one of a pair of simultaneous equations? If so, you need both equations to find values for x and y.