Step-by-step explanation:
First, let's rewrite the equations.
1/2x + 1/3y =6
x - y = 2
The easiest system to use for substitution is the second one. Let's solve for X.
x - y = 2
add y to both sides!
x = 2 + y
Now that we know x = 2 + y we can use it to substitute in the first equation.
1/2(2 + y) +1/3y = 6
1 + 1/2y +1/3y = 6
5/6y = 5
y = 36/5
Answer: 1/243
Step-by-step explanation: To simplify the problem shown, our first step is to convert the decimal in the exponent, -2.5, to a fraction.
-2.5 is the same thing as -2 and 1/2 so we have 9^-2 and 1/2 and -2 and 1/2 is the same thing as -5/2 so we have 9^-5/2.
The rest of my work is attached in the image provided.
Answer:
l
Step-by-step explanation:
Answer:
KR = 9
Step-by-step explanation:
If K is the midpoint of ER, then EK = KR and ER = 2(EK).
Given:
ER = 2(EK)
⇒ 4x + 2 = 2(x + 5)
⇒ 4x + 2 = 2x + 10
⇒ 2x + 2 = 10
⇒ 2x = 8
⇒ x = 4
As EK = KR and EK = x + 5 and x = 4:
⇒ KR = 4 + 5
⇒ KR = 9
Both drove the same distance because you can draw a picture and you see its equal