The solution to a system of two linear equations is x = 3 weeks; y = 9 feet
How could you get exactly two or three solutions to this linear system?
1 curving the lines around so that they cross multiple times
2 no way to have 2 linear graphs with 2 or 3 intersecting points
3 making the lines parallel to eachother
4 the point where the nine foot plant stopped growing for 3 weeks
5 from the origin, find the y-intercepts and subtract them
6 the point where the lines cross the y axis after three weeks
The correct answer is:
2 no way to have 2 linear graphs with 2 or 3 intersecting points.
A system of two linear equations can have exactly one solution, no solution, or infinitely many solutions. It is not possible to have exactly two or three solutions to a system of linear equations.
2 no way to have 2 linear graphs with 2 or 3 intersecting points
To get exactly two or three solutions to a system of two linear equations, you have a few options. Let's go through each of the given statements:
1) Curving the lines around so that they cross multiple times: This is not a valid approach for linear equations since linear equations represent straight lines with constant slopes. They do not curve unless they are not actually linear equations.
2) No way to have 2 linear graphs with 2 or 3 intersecting points: This statement is incorrect. It is possible for two linear equations to have two or three intersecting points, depending on the slopes and y-intercepts.
3) Making the lines parallel to each other: If the lines are parallel, they will never intersect, so there will be no solutions to the system of equations. Parallel lines have the same slope and different y-intercepts.
4) The point where the nine-foot plant stopped growing for 3 weeks: This statement is unrelated to determining solutions to the system of equations. It seems to be referring to a specific point in a real-life scenario, but it does not provide relevant information about the equations or their solutions.
5) From the origin, find the y-intercepts and subtract them: Finding the y-intercepts of the two equations and subtracting them will not directly result in the solutions to the system of equations. The y-intercept is the point where the line crosses the y-axis, and subtracting them does not provide the values of x and y that satisfy both equations simultaneously.
6) The point where the lines cross the y-axis after three weeks: This statement is also not correct. The point where the lines cross the y-axis does not necessarily have any relation to the number of weeks. The y-intercept is simply the value of y when x = 0.
To determine the solutions to the system of equations, you would need the actual equations themselves. Once you have the equations, you can solve them using various methods such as substitution, elimination, or graphing. Each method will provide the x and y values that satisfy the system of equations.