Answer: Rewrite equations:
5x+y=−13;6x+6y=−6
Step: Solve5x+y=−13for y:
5x+y=−13
5x+y+−5x=−13+−5x(Add -5x to both sides)
y=−5x−13
Step: Substitute−5x−13foryin6x+6y=−6:
6x+6y=−6
6x+6(−5x−13)=−6
−24x−78=−6(Simplify both sides of the equation)
−24x−78+78=−6+78(Add 78 to both sides)
−24x=72
−24x
−24
=
72
−24
(Divide both sides by -24)
x=−3
Step: Substitute−3forxiny=−5x−13:
y=−5x−13
y=(−5)(−3)−13
y=2(Simplify both sides of the equation)
Answer:
x=−3 and y=2
Step-by-step explanation:
Answer:
b=84
Step-by-step explanation:
from your equation, subtract 3969 from each side
you are left with b^2=7056
sqrt b^2 = sqrt 7056
b=84
Answer:
Step-by-step explanation:
<em>Step 1: Determine quantity per liquid</em>
liquid 1=7/8 cup
liquid 2=9/10 cup
<em>Step 2: Derive expression to calculate total amount of mixture</em>
The expression below can be derived;
T=a+b
where;
T=total amount of mixture
a=total amount of liquid 1
b=total amount of liquid 2
In our case;
a=7/8 cup
b=9/10 cup
replacing;
T=(7/8)+(9/10)=1 31/40 cups
The total amount of mixture=1 31/40 cups
(3 yard/sec) x (3,600 sec/hr) x (1 mile / 1,760 yard) =
(3 x 3,600 / 1,760) (mile/hour) = 6.136... mph (rounded)
