Answer:
6x-16
Step-by-step explanation:
It is necessary to apply inverse operation on both sides of the equal sign when solving equations in order to maintain the balance of the equality sign.
An inverse operation are two operations which undo each other, thus, inverse operations on both sides of an equation helps to keep the equations equal.
Answer:
a + b = 2
Step-by-step explanation:
Given
ax² + bx + c = 0 ( equation in standard form )
Then the sum of the roots = - 
3x² - 6x + 2 = 0 ← is in standard form
with a = 3, b = - 6 , then
sum of roots = - 
= 2
Answer:
b
Step-by-step explanation:
Answer:
Suit: $13; Shoes: $8
Step-by-step explanation:
Represent the unknowns (which are commissions on the sale of suits and shoes) by u and h.
The associate earned a commission of $47 the first week. That $47 represents the sum of the commission earned from selling suits and the commission earned from selling shoes.
We can represent this fact as follows:
3u + 1h = $47 (3 times the commission for selling 1 suit)
The appropriate equation describing the situation in the second week follows:
7u + 2h = $107
Now we have two linear equations in two unknowns, enough to enable us to calculate the commissions on selling suits and shoes.
3u + 1h = $47
7u + 2h = $107
We are to solve this system using the substitution method. The easiest approach here is to solve the first equation for h: h = $47 - 3u
and
then replace h in the second equation by $47 - 3u:
7u + 2($47 - 3u) = $107
Performing the indicated multiplication, we get 7u + $94 - 6u = $107
Simplifying this results in u + $94 = $107, and subtracting $94 from both sides reduces this equation to u = $13.
Thus, the commission on selling a suit is $13.
The commission on selling a pair of shoes is obtained from subbing $13 for u in the very first equation (3u + 1h = $47): 3($13) + h = $47. Subtracting $39 from both sides results in $8 = h. The commission on selling a pair of shoes is $8.
