SOLUTION: Of the points listed below, which lie on the following line? y= -x +34 select all the correct answers 13,17 15,23 10,24 0,34 35,0 0, -34

Algebra ->  Graphs -> SOLUTION: Of the points listed below, which lie on the following line? y= -x +34 select all the correct answers 13,17 15,23 10,24 0,34 35,0 0, -34       Log On


   

Question 148522: Of the points listed below, which lie on the following line?
y= -x +34
select all the correct answers
13,17
15,23
10,24
0,34
35,0
0, -34


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's see if (13,17) is a solution.

y=+-x+%2B34 Start with the given equation.


%2817%29=+-%2813%29+%2B34 Plug in x=13 and y=17.


17=+-%2813%29+%2B34 Evaluate and simplify the left side.


17=21 Evaluate and simplify the right side.


Since the equation is not true, this means that (13,17) is not a solution.

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Let's see if (15,23) is a solution.

y=+-x+%2B34 Start with the given equation.


%2823%29=+-%2815%29+%2B34 Plug in x=15 and y=23.


23=+-%2815%29+%2B34 Evaluate and simplify the left side.


23=19 Evaluate and simplify the right side.


Since the equation is not true, this means that (15,23) is not a solution.

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Let's see if (10,24) is a solution.

y=+-x+%2B34 Start with the given equation.


%2824%29=+-%2810%29+%2B34 Plug in x=10 and y=24.


24=+-%2810%29+%2B34 Evaluate and simplify the left side.


24=24 Evaluate and simplify the right side.


Since the equation is true, this means that (10,24) is a solution.

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Let's see if (0,34) is a solution.

y=+-x+%2B34 Start with the given equation.


%2834%29=+-%280%29+%2B34 Plug in x=0 and y=34.


34=+-%280%29+%2B34 Evaluate and simplify the left side.


34=34 Evaluate and simplify the right side.


Since the equation is true, this means that (0,34) is a solution.

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Let's see if (35,0) is a solution.

y=+-x+%2B34 Start with the given equation.


%280%29=+-%2835%29+%2B34 Plug in x=35 and y=0.


0=+-%2835%29+%2B34 Evaluate and simplify the left side.


0=-1 Evaluate and simplify the right side.


Since the equation is not true, this means that (35,0) is not a solution.

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Let's see if (0,-34) is a solution.

y=+-x+%2B34 Start with the given equation.


%28-34%29=+-%280%29+%2B34 Plug in x=0 and y=-34.


-34=+-%280%29+%2B34 Evaluate and simplify the left side.


-34=34 Evaluate and simplify the right side.


Since the equation is not true, this means that (0,-34) is not a solution.


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Summary:

So the solutions are (0,34) and (10,24)