x-5y=18, 2x-3y=-13? what is x and y, using the substitution method
\(2x-3y=-13\)
\(x-5y=18\), \(x=18+5y\)
\(2(18+5y)-3y=-13\)
\(36+10y-3y=-13\)
\(36+7y=-13\)
\(7y=-49\)
\(y=-7\)
\(x-5(-7)=18\)
\(x+35=18\)
\(x=-17\)
\(Answer: (-17,-7)\)
x - 5y = 18
x = 18 + 5y
2x - 3y = -13
2 ( 18 + 5y ) - 3y = -13
36 +10y - 3y = -13
36 + 7y = -13
7y = -49
y = -7
x = 18 + 5y = 18 + 5(-7) = 18 - 35 = -17
So, x = -17 and y = -7