Answer:
1. x = -1.5y
2. 5 (2x-3)
3. p = 4
Step-by-step explanation:
1) Simplifying
7x + 2y + -3x + 4y = 0
Reorder the terms:
7x + -3x + 2y + 4y = 0
Combine like terms: 7x + -3x = 4x
4x + 2y + 4y = 0
Combine like terms: 2y + 4y = 6y
4x + 6y = 0
Solving
4x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
4x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 0 + -6y
4x = 0 + -6y
Remove the zero:
4x = -6y
Divide each side by '4'.
x = -1.5y
Simplifying
x = -1.5y
2)
Common factor
10x - 15
5 (2x-3)
3) Simplifying
5p = 3p + 8
Reorder the terms:
5p = 8 + 3p
Solving
5p = 8 + 3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-3p' to each side of the equation.
5p + -3p = 8 + 3p + -3p
Combine like terms: 5p + -3p = 2p
2p = 8 + 3p + -3p
Combine like terms: 3p + -3p = 0
2p = 8 + 0
2p = 8
Divide each side by '2'.
p = 4
Simplifying
p = 4
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be
, we proceed to show the appropriate procedure to step 4:
1)
Given
2)
Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
. If
, then:

But if
, then:

Hence, correct answer is A.
120 tennis racquets were sold for $ 18 each
<em><u>Solution:</u></em>
Let x = number that sell for $18 each
Then, 200 - x = number that sell for $33 each
<em><u>The total receipts form these sales were 4800 dollars</u></em>
Thus we frame a equation as:
number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800

Thus 120 tennis racquets were sold for $ 18 each
Answer:
17/20
Step-by-step explanation:
1/4 +3/5 simplify into:
5/20 + 12/20= 17/20
Answer:
37.5 is the answer
Step-by-step explanation:
all you do is just multiply the 2 numbers