Answered

Get expert advice and insights on any topic with IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation

Sagot :

Absor201idn

Answer:

Please see explanation

Step-by-step explanation:

A system of linear equations in two variables represents two lines on graph.

When both the lines have same slope, there can be two cases

  • Same slope with different y-intercepts

When two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.

  • Same slope with same y-intercepts

When the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.