anonymous
  • anonymous
A set of equations is given below: Equation C: y = 5x + 10 Equation D: y = 5x + 2 Which of the following best describes the solution to the given set of equations? One solution No solution Two solutions Infinitely many solutions
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Did you graph these or attempt to solve the system?
anonymous
  • anonymous
I tried
anonymous
  • anonymous
what did you get?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
two solutions
mathstudent55
  • mathstudent55
The system of equations in this problem is made up of two linear equations. A linear equation has a graph which is a straight line. If you are given two equations, there are three possibilities. 1. The two equations are two lines that intersect at one point. In this case, there is one solution to the system of equations. 2. The two equations look like two different equations, but they really are a single equation. In this case, every point on the line is a solution, and there are an infinite number of solutions. 3. The two equations are different, and the lines they represent are parallel. In this case, since the lines never intersect, there is no solution.
anonymous
  • anonymous
theres infinite solutions
mathstudent55
  • mathstudent55
|dw:1441046418758:dw|
anonymous
  • anonymous
how do i graph the numbers
mathstudent55
  • mathstudent55
Now we need to look at the two equations in this system and see if we can conclude which one of the three cases it is.
mathstudent55
  • mathstudent55
When the equation of a line is written in the form \(y = mx + b\) m is the slope, and b is the y-intercept. The slope is a measure of the inclination of the line. The y-intercept is the point on the y-axis where the line crosses the y-axis. Parallel lines have the same slope and different y-intercepts.
anonymous
  • anonymous
theres infinite solutions
mathstudent55
  • mathstudent55
Now look at your equations. \(\begin{cases} y = 5x + 10 \\ y = 5x + 2 \end{cases}\) Notice that both equations are already written in the y = mx + b form. In addition, in both equations, m is the same, 5. Both equation have the same slope, 5. This means these two equation can only be parallel lines or the same line. We tell the difference by looking at the y-intercept. Since one equation has y-intercept 10, and the other equation has y-intercept 2, the equations are of different lines. That means they are parallel lines. How many solutions are there to a system of linear equation of parallel lines?
anonymous
  • anonymous
no solutions
mathstudent55
  • mathstudent55
http://www.wolframalpha.com/input/?i=plot%3A+y+%3D+5x+%2B+10%3B++y+%3D+5x+%2B+2+for+-10%3Cx%3C10
mathstudent55
  • mathstudent55
Correct.

Looking for something else?

Not the answer you are looking for? Search for more explanations.