Answer:
Step-by-step explanation:
- Let the value of a number 'a' be = 8/15
- Let the value of a number 'b' be = 2/3
The difference between the two numbers can be calculated by subtracting the numbers












Thus,
We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
If you want to learn more, you can read:
brainly.com/question/13322477
Multiplication property of equality
Step-by-step explanation:
We are given that the equation

We have to find the property which was applied to solve the equation.

Reason: Given
Multiply by -8/3 on both sides

By using multiplication property of equality.

After simplification
