Answer:
The answer to your question is below
Step-by-step explanation:
Part A.
-3x + 7y = 13
Solve the equation for "y"
7y = 3x + 13
y = 
Part B.
Two lines are parallel if their slopes are the same
Two lines are perpendicular if their slope are opposite reciprocals
Slope of the first line = 
Slope of the second line = 
Conclusion: the lines are parallel because their slopes are the same.
Answer:
<h2>
x=-3</h2>
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes
subtract 6 from both sides
Now we divide by 2 on both sides
x= -3 approximately
Answer:
$12.40
Step-by-step explanation:
You can set this up as .20 x 62 which will give you $12.4 or $12.40. You get .20 by converting 20% to a decimal. Also you can simply put 60-20% on a calculator.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
A = x² + xy + 2y - 1 → (1)
A + B = 2x² - xy - 4y - 1 → (2)
From (2)
B = 2x² - xy - 4y - 1 - A
= 2x² - xy - 4y - 1 - (x² + xy + 2y - 1) ← distribute parenthesis
= 2x² - xy - 4y - 1 - x² - xy - 2y + 1 ← collect like terms
= x² - 2xy - 6y
Hence
A - B = x² + xy + 2y - 1 - (x² - 2xy - 6y) ← distribute parenthesis
= x² + xy + 2y - 1 - x² + 2xy + 6y ← collect like terms
= 3xy + 8y - 1
(b)
Given A - B = x, then
x = 3xy + 8y - 1 ( add 1 to both sides )
x + 1 = 3xy + 8y ← factor out y from each term
x + 1 = y(3x + 8) ← divide both sides by (3x + 8)
y = 