The solution to a system of two linear equations is x = 3 weeks; y = 9 feet Match the description with the correct statement. (3 points)
1. The solution represents the amount of time it takes to travel a distance of 9 feet. - CORRECT
2. The solution represents the amount of distance covered in 3 weeks. - INCORRECT
3. The solution represents the amount of time it takes to cover a distance of 9 feet and 3 weeks. - INCORRECT
Unfortunately, you haven't provided any statements to choose from. Could you please provide the statements for matching?
To match the description with the correct statement, we need to understand the given information and the concepts involved in a system of linear equations.
A system of linear equations is a set of equations that can be written in the form:
ax + by = c
where a, b, and c are constants, and x and y are variables. The goal is to find the values of x and y that satisfy both equations simultaneously.
In the given problem, the solution to the system of two linear equations is given as x = 3 weeks and y = 9 feet. Let's analyze each description and match it with the correct statement:
1. The value of x represents the number of weeks.
2. The value of y represents the length in feet.
3. The solution to the system of equations is x = 3 weeks, y = 9 feet.
Based on the information provided, we can conclude that:
The correct statement for each description is:
1. The value of x represents the number of weeks.
2. The value of y represents the length in feet.
3. The solution to the system of equations is x = 3 weeks, y = 9 feet.
Therefore, the correct match is:
Statement 1: The value of x represents the number of weeks.
Statement 2: The value of y represents the length in feet.
Statement 3: The solution to the system of equations is x = 3 weeks, y = 9 feet.
The solution to a system of two linear equations is x = 3 weeks; y = 9 feet Match the description with the correct statement. (3 points)|
The solution to this system could possibly have this meaning.
How could you get exactly two or three solutions to this linear system?
How would you locate the solution of the two linear graphs on the coordinate plane?
OPTIONS:
From the origion, find the y-intercepts and subtract them
The point showing after 3 weeks, the plant was 9 feet tall
Curving the lines around so that they cross multiple times
Find the point where the two lines cross; (3, 9)
The point where 9 foot plant stopped growing for 3 weeks
No way to have 2 linear graphs with 2 or 3 intersecting points
Making the lines parallel to each other
Based on the given system of linear equations:
x = 3 weeks
y = 9 feet
And the descriptions provided, here are the correct matches for the statements:
1. The point showing after 3 weeks, the plant was 9 feet tall - CORRECT
2. Curving the lines around so that they cross multiple times - INCORRECT (Linear equations do not curve)
3. Find the point where the two lines cross; (3, 9) - CORRECT
4. The point where 9-foot plant stopped growing for 3 weeks - INCORRECT (Not enough information to determine if the plant stopped growing or not)
5. No way to have 2 linear graphs with 2 or 3 intersecting points - CORRECT (Two linear equations can have a unique solution (one point of intersection), infinitely many solutions (lines coinciding), or no solution (parallel lines))
6. Making the lines parallel to each other - INCORRECT (The lines in the system are not necessarily parallel)
Correct matches:
1. The point showing after 3 weeks, the plant was 9 feet tall
3. Find the point where the two lines cross; (3, 9)
5. No way to have 2 linear graphs with 2 or 3 intersecting points