SOLUTION: 6. Determine which of the ordered pairs are solutions for the given equation. {{{y=2x-1}}} (0, -2) (0, -1) (1/2 , 0) (3, -5)

Question 125831: 6. Determine which of the ordered pairs are solutions for the given equation.

(0, -2) (0, -1) (1/2 , 0) (3, -5)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Let's test the first solution (0,-2):

Plug in and

Simplify. Since the two sides of the equation are not equal, this means (0,-2) is not a solution to

-------Now lets test another solution-------

Let's test the second solution (0,-1):

Plug in and

Simplify. Since the two sides of the equation are equal, this means (0,-1) is a solution to

-------Now lets test another solution-------

Let's test the third solution (1/2,0):

Plug in and

Multiply

Reduce

Subtract. Since the two sides of the equation are equal, this means (1/2,0) is a solution to

-------Now lets test another solution-------

Let's test the fourth solution (3,-5):

Plug in and

Simplify. Since the two sides of the equation are not equal, this means (3,-5) is not a solution to

==============================================================================
Answer:
So the following ordered pairs are solutions to

(0,-1) and (1/2,0)

Now let's graph the equation and plot the points (0,-2), (0,-1), (1/2,0) and (3,-5)

Here we can see that the points (0,-1) and (1/2,0) lie on the line (they are the green points). These are the solutions to the equation .
Notice the other possible solutions are points that do not lie on the line. Those ordered pairs do not satisfy the equation
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