Lesson 3.10: Solving Linear Systems by Elimination Answers

–2x + y = 32x – y = 4Using elimination to solve this system results in the equation x = 7y = 7✔ 0 = 7.

The equation 0 = 7 is __________ true.

The system of equations has ✔ no solutionsone solutionInfinitely many solutions

Consider this system: [image 1] [image 2] Which of the following operations would eliminate the x-terms if the two equations were added together afterward?

What does the solution (8, 5.5) mean in the context of this problem?

Question text not available

[image 1] [image 2] After adding the two equations to eliminate x you are left with [image 3] .Solve for y:y = ⇒ -2

Substituting y = –2 back into the first equation gives: –2x + ⇒ -6 = –12

Which of the following operations would eliminate the y-terms if the two equations were added together afterward?

Use elimination to solve the system. The solution is ( ⇒ 2/3 , ⇒ 2 ).

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?2a + 4c = 38.003a + 3c = 40.50What values of a and c represent the solution to the system?a = ⇒ 8 c = ⇒ 5.5