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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!

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13y ago

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Related Questions

When two or more lines intersect at a point they are said to be?

Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.


If two equation are graphed how can you find the solution?

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.


How to measure the point at which two tangents intersect each other?

To measure the point at which two tangents intersect each other, find an equation for each tangent line and compute the intersection. The tangent is the slope of a curve at a point. Knowing that slope and the coordinates of that point, you can determine the equation of the tangent line using one of the forms of a line such as point-slope, point-point, point-intercept, etc. Do the same for the other tangent. Solve the two equations as a system of two equations in two unknowns and you will have the point of intersection.


What are two equations for two lines that will intersect all the time?

They are simultaneous equations.


Will The graph of a system equation will intersect at exactly 1 point?

A system of equations will intersect at exactly one point if the equations represent two lines that are neither parallel nor coincident, meaning they have different slopes. In this case, there is a unique solution to the system. If the lines are parallel, they will not intersect at all, and if they are coincident, they will intersect at infinitely many points.


Two lines intersect how many solutions does the system of equations have?

When two lines intersect, the system of equations has exactly one solution. This solution corresponds to the point of intersection, where both equations are satisfied simultaneously. If the lines are parallel, there would be no solutions, and if they coincide, there would be infinitely many solutions.


When solving a system of equations by graphing you will need to graph the equations on the same?

When solving a system of equations by graphing, you will need to graph the equations on the same coordinate plane. This allows you to visually identify the point where the two lines intersect, which represents the solution to the system. If the lines intersect at a single point, that point is the unique solution; if the lines are parallel, there is no solution; and if they coincide, there are infinitely many solutions.


Can a system of linear equation have more than one solutions?

No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.


Two lines intersect in a?

Two lines intersect at a point


Why cant a system of linear equations cannot have exactly two solutions?

Because linear lines can't intersect in two seperate places. They either intersect at one specific coordinate, or the lines are on top of each other and they intersect at every point.


What is a solution to a system of equations graphically?

Graphically, it is the point of intersection where the lines (in a linear system) intersect. If you have 2 equations and two unknowns, then you have a 2 lines in a plane. The (x,y) coordinates of the point where the 2 lines intersect represent the values which satisfies both equations. If there are 3 equations and 3 unknowns, then you have lines in 3 dimensional space. If all 3 lines intersect at a point then there is a solution to the system. With more than 3 variables, it is difficult to visualize more dimensions, though.


How many solutions can two lines have that intersect once?

Since the lines that intersect are the equations, if they intersect once they have one solution.