Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
Answer:
r = 8
Step-by-step explanation:
V = π r^2 h so 383 = r^2 (6)
383 / 6 = r^2
64 = r^2 so
r = 8
Answer:
$216435
Step-by-step explanation:
Given : Suppose homes in a big city increase in value 13% every year.
To Find: How much will a home that cost $150,000 be worth 3 years later?
Solution:
Principal = $150000
Rate = 13% =0.13
Time = 3 years
Formula : 
Now substitute the values in the formula


So, The cost of home after 3 years will be $216435
Hence Option B is true
Answer:
Step-by-step explanation:
2. 24^2+7^2 = 625
V 625 = 25
3. 6^2 + 5^2 = 25 +36 = 61
V 61 =7.81024967 =7.8
4. 4^2 +9^2 = 97
V 97= 9.84885780 = 9.8
5. 2^2 +3^2 = 13
V 13 =3.60555127 =3.6
and done!
Answer:
29.9
Step-by-step explanation:
Divide the earnings by the time.
179.4/6 = 29.9
418.6/14 = 29.9
867.1/29 = 29.9