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Vanessa will graph the lines y = 1/3*x + 7 and y = 2x - 5. What is the sum of the x-coordinates of the two lines' x-intercepts? Express your answer as a decimal to the nearest tenth.

 May 25, 2022
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The x-intercept will always have a y-coordinate of 0. To find the x-intercepts of the two lines, substitute 0 for y: 

 

First line: 

   y=13x+7

(0)=13x+7

7=13x

   x=21

 

Second line: 

   y=2x5

(0)=2x5

   5=2x

   x=2.5

 

Their sum: 

2.5 + (-21) = -18.5

 

Let me know if you have any questions smiley

 May 25, 2022

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