SOLUTION: use substitution to solve each system of equations. If the system does not have exactly one solution, state wether it has no solution or infenetily many solutions. 8x+2y=13 4x+y=

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: use substitution to solve each system of equations. If the system does not have exactly one solution, state wether it has no solution or infenetily many solutions. 8x+2y=13 4x+y=      Log On


   

Question 182057This question is from textbook glencoe mathematics algebra 1
: use substitution to solve each system of equations. If the system does not have exactly one solution, state wether it has no solution or infenetily many solutions.
8x+2y=13
4x+y=11 This question is from textbook glencoe mathematics algebra 1

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve, by substitution:
8x%2B2y+=+13
4x%2By+=+11 Solve this for y: y+=+-4x%2B11 and substitute into the first equation.
8x%2B2%28-4x%2B11%29+=+13 Solve for x.
8x-8x%2B11+=+13
11+=+13 No solution!
You can see why when you graph these two linear equations:
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C-4x%2B11%2C-4x%2B13%29
The lines are parallel, thus there is no intersection and no solution to this system of equations.