Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The first equation in a system is 5x+2y=-4Which equation gives a system with no solution

The First Equation In A System Is 5x2y4Which Equation Gives A System With No Solution class=

Sagot :

System of equations

A system of equations with two variables can have one solution, no solution, or infinitely many solutions.

Each equation corresponds to a line which can be expressed like:

y = mx + b

Where m is the slope and b is the y-intercept

For a system to have one solution, both lines must have different slopes, so they cross each other at one point.

If a system has no solution, both lines are parallel

If a system has infinitely many solutions, both lines are the same line (they coincide)

We have the following equation:

5x + 2y = -4

Let's solve it for y:

2y = - 5x -4

[tex]y=-\frac{5}{2}x-2[/tex]

Only one of the lines has the same slope as the given line:

[tex]y=-\frac{5}{2}x-3[/tex]

Both lines have the same slope but don't have the same y-intercept, so they are parallel.

Thus, the correct choice is D.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.