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:
The cost of 15 liters is $31.50
Step-by-step explanation:
1. Find the price for 1 liter of petrol.
Divide the cost by the number of liters:
$14.70 / 7 = $2.10 per liter.
2. Multiply the price for 1 liter by the new number of liters, 15.
$2.10 per liter x 15 liters = $31.50
Answer:
Step-by-step explanation:
<u> m∠SQT is substituted by 180° at step 5</u>
- 4 m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
- 5 m∠SQV + m∠VQT = 180° Substitution Property of Equality
- 6 m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
Answer:
-6 is the answer
Step-by-step explanation: