Project14 ระบบสมการเชิงเส้นสองตัวแปร

What is a key characteristic of a system of linear equations with two variables?

• It must contain at least three equations.

• All variables must have a degree of 1.

• The coefficients of both variables in an equation must always be non-zero.

• It can only contain one variable.

Which of the following systems is NOT a system of linear equations with two variables?

• 4x + 3y = 10 and 2x - y = 0

• 5x - 6y = -7 and 4y = 8

• x(x + 3) = 4 and 5x - y = 2

• x + y = 5 and 2x - 3y = 1

What defines the solution to a system of linear equations with two variables (x, y)?

• An ordered pair (x, y) that satisfies only the first equation.

• An ordered pair (x, y) that satisfies only the second equation.

• An ordered pair (x, y) that makes both equations true.

• Any ordered pair (x, y) where x and y are real numbers.

Consider the system of equations: 2x - 5y = -23 and 4x + y = 9. Is the ordered pair (1, 5) a solution to this system?

• Yes, because it satisfies the first equation.

• Yes, because it satisfies both equations.

• No, because it does not satisfy the first equation.

• No, because it does not satisfy the second equation.

คุณสนุกกับการเรียนวิดีโอนี้หรือไม่?

• ใช่

• ไม่ใช่

What defines a solution to a system of two linear equations with two variables?

• An ordered pair (x, y) that satisfies the first equation only.

• An ordered pair (x, y) that satisfies the second equation only.

• An ordered pair (x, y) that satisfies both equations simultaneously.

• Any ordered pair (x, y) where x and y are real numbers.

If the graphs of two linear equations in a system intersect at exactly one point, how many solutions does the system have?

• No solution

• One solution

• Infinitely many solutions

• Two solutions

A system of two linear equations has graphs that are the same line. What can be concluded about the number of solutions for this system?

• There is exactly one solution.

• There are infinitely many solutions.

• There is no solution.

• The number of solutions depends on the specific equations.

When the graphs of two linear equations in a system are parallel and distinct, what does this indicate about the system's solutions?

• The system has one unique solution.

• The system has infinitely many solutions.

• The system has no solution.

• The system has two solutions.