Which ordered pair is a solution of the equation? -3x+4y=14−3x+4y=14

Question

rebgbtrbtrtrtweqegeqegggggergreegregeggr

Answer 1

-3x + 4y = 14

4y = 3x + 14   (added 3x to both sides)

 y = (3/4)x + 14/4   (divided both sides by 4)

 

Now to find ordered pairs (x,y) that solve this, let x = some value, A, then plug it into the right hand side.  The value you calculate will be the corresponding y value (B) and together, those values make an ordered pair (A,B) that solves the equation.

 

Example: let x = 1.   y = (3/4)(1) + 14/4 = 17/4  —>  (1, 17/4) is an ordered pair that solves the equation.

There are an infinite number of such pairs since you can let x vary as you please.  

 

 

Answer 2

Nick, you have choices of (x,y). Take each and plug them in.

 

For example, (5,7)...

 

-3(5) + 4(7) = 14

-15 + 28 = 14

-13 = 14

 

Well, shoot, that's not true, so (5,7) is not a solution.