Question

# If a system of linear equations is consistent and independent, the lines are_________.

- Parallel lines
- The same line
- Intersecting lines
- No solution

## The correct answer is: Intersecting lines

### If a system of linear equations is consistent and independent, then the lines are intersecting lines.

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.

### Related Questions to study

### 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

### 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.