Answer: (-15, 3)
Let's solve your system by substitution.
x+5y=0;3y+2x=−21
Rewrite equations:
x+5y=0;2x+3y=−21
Step: Solvex+5y=0for x:
x+5y=0
x+5y+−5y=0+−5y(Add -5y to both sides)
x=−5y
Step: Substitute−5yforxin2x+3y=−21:
2x+3y=−21
2−5y+3y=−21
−7y=−21(Simplify both sides of the equation)
−7y
−7
=
−21
−7
(Divide both sides by -7)
y=3
Step: Substitute3foryinx=−5y:
x=−5y
x=(−5)(3)
x=−15(Simplify both sides of the equation)
Answer:
x=−15 and y=3
