SOLUTION: Which of the ordered pairs (0, 0), (–2, 10), (–1, –5), (–3, 9) are solutions for the equation y = 5x?

Algebra ->  Graphs -> SOLUTION: Which of the ordered pairs (0, 0), (–2, 10), (–1, –5), (–3, 9) are solutions for the equation y = 5x?      Log On


   

Question 116250: Which of the ordered pairs (0, 0), (–2, 10), (–1, –5), (–3, 9) are solutions for the equation y = 5x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

y=5%2Ax Start with the given equation


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


%280%29=5%2A%280%29 Plug in x=0 and y=0


0=0 Simplify. Since the two sides of the equation are equal, this means (0,0) is a solution to y=5%2Ax



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



Let's test the second solution (-2,10):


%2810%29=5%2A%28-2%29 Plug in x=-2 and y=10


10=-10 Simplify. Since the two sides of the equation are not equal, this means (-2,10) is not a solution to y=5%2Ax



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



Let's test the third solution (-1,-5):


%28-5%29=5%2A%28-1%29 Plug in x=-1 and y=-5


-5=-5 Simplify. Since the two sides of the equation are equal, this means (-1,-5) is a solution to y=5%2Ax



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



Let's test the fourth solution (-3,9):


%289%29=5%2A%28-3%29 Plug in x=-3 and y=9


9=-15 Simplify. Since the two sides of the equation are not equal, this means (-3,9) is not a solution to y=5%2Ax


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Answer:
So the following ordered pairs are solutions to y=5%2Ax

(0,0) and (-1,-5)

Now let's graph the equation y=5%2Ax and plot the points (0,0), (-2,10), (-1,-5), and (-3,9)

Here we can see that the points (0,0) and (-1,-5) lie on the line (they are the green points). These are the solutions to the equation y=5%2Ax.
Notice the other possible solutions are points that do not lie on the line. Those ordered pairs do not satisfy the equation y=5%2Ax