Answer:
x=9 and y=3
Step-by-step explanation:
Let's solve your system by substitution.
−4x+6y=−18 and y=−2x+21
Rewrite equations:
y=−2x+21;−4x+6y=−18
Step: Solve y=−2x+21for y:
y=−2x+21
Step: Substitute−2x+21foryin−4x+6y=−18:
−4x+6y=−18
−4x+6(−2x+21)=−18
−16x+126=−18(Simplify both sides of the equation)
−16x+126+−126=−18+−126(Add -126 to both sides)
−16x=−144
−16x
−16
=
−144
−16
(Divide both sides by -16)
x=9
Step: Substitute9forxiny=−2x+21:
y=−2x+21
y=(−2)(9)+21
y=3(Simplify both sides of the equation)
Answer:
x=9 and y=3
Answer:
C. the remainder must always be less than the dividend
Answer:
1. 30 minutes
2. 15 minutes
3. 30 minutes
4. 60 minutes/ 1 hour
5. 45 minutes
Step-by-step explanation:
1. 60 - 45 = 15
15+15 = 30
2. 30 - 15 = 15
3. 45 - 15 = 30
4. 60 - 30 = 30
30 + 30 = 60
5. 60 - 15 = 45
The first equation tells you that 
. If you substitute this expression for 
in the second, we have
And we can deduce 
