X-4y=7 -6x-3y=12 how do i solve by substitution
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Please consider the attached image as the given square.
We are asked to express the shaded area as a fraction, a decimal, and a percent of the whole.
We can see that in our figure there are 100 squares as there are 10 rows and each row contains 10 squares.
We can also see that there are 81 shaded squares out of 100 squares, so we can represent it as a fraction as:
To convert the shaded area into decimal, we need to divide 81 by 100.
To convert the shaded area into percent, we need to multiply 0.81 by 100.
Answer:
(1)Equivalence Relation
(2)Not Transitive, (0,3) is missing
(3)Equivalence Relation
(4)Not symmetric and Not Transitive, (2,1) is not in the set
Step-by-step explanation:
A set is said to be an equivalence relation if it satisfies the following conditions:
- Reflexivity: If
- Symmetry:
- Transitivity:
(1) {(0,0), (1,1), (2,2), (3,3)}
(3) {(0,0), (1,1), (1,2), (2,1), (2,2), (3,3)}
The relations in 1 and 3 are Reflexive, Symmetric and Transitive. Therefore (1) and (3) are equivalence relation.
(2) {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)}
In (2), (0,2) and (2,3) are in the set but (0,3) is not in the set.
Therefore, It is not transitive.
As a result, the set (2) is not an equivalence relation.
(4) {(0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3)}
(1,2) is in the set but (2,1) is not in the set, therefore it is not symmetric
Also, (2,0) and (0,1) is in the set, but (2,1) is not, rendering the condition for transitivity invalid.