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Solve the system by substitution. x−5y=13, 4x−3y=1 Enter your answer as an ordered pair (x,y).

 Aug 1, 2020
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Hello, Guest!~

 

We start off with x-5y=13, and 4x-3y=1.

 

We can rearrange the first equation: x=5y+13.

 

We can substitute this first, rearranged equation into the second, giving us:

 

4(5y+13)-3y=1

1=4(5y+13)-3y

1=20y+52-3y

1=17y+52

0=17y+51

-51=17y

y=-3.

 

Now that we have y, we can use that to find x:

 

x+15=13

x=-2

 

So your ordered pair would be: (-2,-3)

 

Hope that helps!~

 

-TheLovely1

 Aug 1, 2020

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