Answer:
x=2 and y=−18
Step-by-step explanation:
Let's solve the system by substitution.
y=−5x−8;y=3x−24
Step: Solve y=−5x−8 for y:
y=−5x−8
Step: Substitute−5x−8 for y in y=3x−24:
y=3x−24
−5x−8=3x−24
−5x−8+−3x=3x−24+−3x(Add -3x to both sides)
−8x−8=−24
−8x−8+8=−24+8(Add 8 to both sides)
−8x=−16
−8x/−8=−16/−8
(Divide both sides by -8)
x=2
Step: Substitute 2 for x in y=−5x−8:
y=−5x−8
y=(−5)(2)−8
y=−18 (Simplify both sides of the equation)
