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System of equations in slope-intercept form that has one solution Using complete sentences explain why this system has one solution?
Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.
If the graphs of two linear equations in a system have the same slope the system has what kind of solution?
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.
Systems of equations with different slopes and different y-intercepts have no solutions?
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
How do you find the point that two equations intersect?
If the equations are in y= form, set the two equations equal to each other. Then solve for x. The x value that you get is the x coordinate of the intersection point. To find the y coordinate of the intersection point, plug the x you just got into either equation and simplify so that y= some number. There are other methods of solving a system of equations: matrices, substitution, elimination, and graphing, but the above method is my favorite!
How did Rene descartes come up with coordinate geometry?
René Descartes developed coordinate geometry by combining algebra and Euclidean geometry. He introduced a system of using pairs of numbers to represent points in a plane, which allowed geometric shapes to be expressed as algebraic equations. This innovative approach enabled the translation of geometric problems into algebraic form, facilitating their analysis and solution. His work laid the foundational framework for modern mathematics and the Cartesian coordinate system.
What is the solution to this system of equations y equals -3x-2?
-1
What is the solution of the system of linear equations x equals 5 y equals -2?
7
What is the solution of the system of linear equations x equals 0 and y equals 0?
The solution of the system of linear equations ( x = 0 ) and ( y = 0 ) is the single point (0, 0) in the Cartesian coordinate system. This point represents the intersection of the two equations, where both variables are equal to zero. Thus, the only solution is the origin.
The equations of two lines are 6x-y equals 4 and y equals 4x plus 2. What is the value of x in the solution for this system of equations?
x=3
What is the solution of the following system of equations 3y - 2x equals 3 y equals x?
x = y = 3
The solution to the system of equations y equals 2x and y equals -x plus 3 is?
x = 1 and y = 2
Describe a consistent independent system of linear equations?
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
What is the solution of the system 2x plus 3y equals 2 and 4x plus 6y equals 4?
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
What is the x-coordinate for the solution to the system of equations descridedy equals -3x equals 1and y equals 2x-2?
Check your text book for how to solve it.
What is the solution to the following system of equations 2x minus 3y equals 4 and 4x plus y equals -6?
{-1,-2}
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is the value of the y variable in the solution to the following system of equations- 3x - 6y equals 3 7x - 5y equals -11?
If "equations-" is intended to be "equations", the answer is y = -2. If the first equation is meant to start with -3x, the answer is y = 0.2
