Question
Identify the true statement among the following,
- If their slope are different, then the system is consistent and dependent
- If their slopes are equal and the y-intercepts are also equal, the system has no solution
- If their slopes are equal and their y-intercepts are different, then the system is inconsistent
- If their slopes are different, then the system has infinitely many solutions
The correct answer is: If their slopes are equal and their y-intercepts are different, then the system is inconsistent
If their slopes are equal and their y-intercepts are different, then the system is inconsistent
When lines have the same slope and different y-intercepts they are parallel lines. Parallel lines never intercept. Because these lines never intercept, they have no solution.
Related Questions to study
Find the solution to this system of equations.
Find the solution to this system of equations.
The 'b" in y=mx+b represents ____________________.
In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value.
The 'b" in y=mx+b represents ____________________.
In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value.
If a system of linear equations is consistent and independent, the lines are_________.
A system of linear equations is consistent independent when it has exactly one solution. When this is the case, the graphs of the lines in the system cross at exactly one point.
If a system of linear equations is consistent and independent, the lines are_________.
A system of linear equations is consistent independent when it has exactly one solution. When this is the case, the graphs of the lines in the system cross at exactly one point.
Diego scores 11 more points than Travis. Together they score 21 points. Find the number of points each person scored.
You can also use elimination method to solve the answer.
Diego scores 11 more points than Travis. Together they score 21 points. Find the number of points each person scored.
You can also use elimination method to solve the answer.
Find the solution to the system of equations.
y = 3x - 8
y = 4 - x
You can also use the elimination method to find the answer.
Find the solution to the system of equations.
y = 3x - 8
y = 4 - x
You can also use the elimination method to find the answer.
Solve for x and y
3x + 2y = 16
7x + y = 19
You can also use the elimination method to find the answer.
Solve for x and y
3x + 2y = 16
7x + y = 19
You can also use the elimination method to find the answer.
Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?
Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?
Solve the system of equations by graphing.
You can also use the elimination method to solve the answer.
Solve the system of equations by graphing.
You can also use the elimination method to solve the answer.
Find the slope of the line.
The slope of the equation is the ratio of the change in the y-axis to the change in the x-axis.
Find the slope of the line.
The slope of the equation is the ratio of the change in the y-axis to the change in the x-axis.
Solve the system of equations by graphing.
You can also use elimination method to solve the answer.
Solve the system of equations by graphing.
You can also use elimination method to solve the answer.
The number of solutions to the system of equations is,
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
The number of solutions to the system of equations is,
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Identify the number of solutions does this system of equations have
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Identify the number of solutions does this system of equations have
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Solve the system of equations by graphing.
An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.
Solve the system of equations by graphing.
An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.
