Question

13x+2y=1
5x−2y=−19
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Answer 1

Answer: x=1 and y= -6

Explanation:

you would use cancellation for this method.

first add the two equations together

then you get 18x= 18

divide and you get x= 1

then plug this back into the first equation and you get 13 + 2y= 1

subtract 13 from both sides and you get 2y= -12

divide both sides by two and you get y= -6

Answer 2

x=−1 and y=7

subtract 2y from both sides. Then divide by both sides by 13 from the 13x.

At this point, x should equal -2/13y + 1/3.

Substitute this equation for x in 5x-2y = -19.

It should look like this: 5(-2/13y + 1/13) -2y = -19.

You would get -36/13y + 5/13 = -19.

Add -5/13 to both sides. Then divide both sides by -36/13.

y=7.

Then substitute the 7 for y in x = -2/13y + 1/13.

x = -1.

Hope that helps you understand!