SOLUTION: Find the x- and y-intercepts of 7x – 2y = –5 I think I suppose to solve this equation using the substitution method....

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Question 150671: Find the x- and y-intercepts of 7x – 2y = –5
I think I suppose to solve this equation using the substitution method....

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

7%2Ax-2%2Ay=-5 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
7%2Ax-2%2A%280%29=-5 Plug in y=0

7%2Ax=-5 Simplify

x=-5%2F7 Divide both sides by 7



So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



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7%2Ax-2%2Ay=-5 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
7%2A%280%29-2%2Ay=-5 Plug in x=0

2%2Ay=-5 Simplify

x=-5%2F-2 Divide both sides by -2



y=5%2F2 Reduce



So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept:

y-intercept: