Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.

3x - 2y = 11

x - y/2 = 4

Question

Romeo Harmon

Mathematics

14 January, 17:36

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.

3x - 2y = 11

x - y/2 = 4

+1

Answers (1)

Know the Answer?

Esther Harmon · Answer 1

X - y/2 = 4

x - 4 = y/2

2 (x - 4) = y

2x - 8 = y ... so we sub in 2x - 8 in for y in the other equation

3x - 2y = 11

3x - 2 (2x - 8) = 11

3x - 4x + 16 = 11

-x = 11 - 16

-x = - 5

x = 5

2x - 8 = y

2 (5) - 8 = y

10 - 8 = y

2 = y

It has one solution and it is (5,2)

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.3x - 2y = 11x - y/2 = 4

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.

3x - 2y = 11

x - y/2 = 4