SOLUTION: Solve the following system of equations by graphing. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.) x=−4y+3 2x+8

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the following system of equations by graphing. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.) x=−4y+3 2x+8      Log On


   

Question 1176508: Solve the following system of equations by graphing. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)
x=−4y+3
2x+8y=6
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

If you write the equations in standard form, you will see that one equation is exactly two times the second.


In other wrods, the two equations are EQUIVALENT.

They represent the same line.


There are infinitely many solutions, and all the solution points
form this unique line.


Infinitely many solutions.


Solved.

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See the lesson
    - Geometric interpretation of the linear system of two equations in two unknowns
in this site.