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