How do solve the following linear system?: −x+5y=−13,−4x−15y=−1?
1 Answer
Nov 25, 2015
x=−407
y=−5135
Explanation:
Given -
−x+5y=−13 ----------------(1)
−4x−15y=−1 --------------(2)
Solve equation (1) for
−x=−13−5y
x=13+5y
Substitute
−4(13+5y)−15y=−1
−52−20y−15y=−1
−52−35y=−1
−35y=−1+52=51
−35y=51
y=51−35=−5135
y=−5135
Substitute
−x+5(−5135)=−13
−x−25535=−13
−x−517=−13
−x=−13+517=−91+517=−407
x=−407
