Answer:
The answer itself can be found at the explanation.
Step-by-step explanation:
A.
1. NLE Reason: It is a quadratic equation.
2. LE Reason: The two variables are x and y.
3. LE Reason: The two variables are x and y.
4. NLE Reason: There is only one variable which is y.
5. NLE Reason: A linear equation has only one particular power stated.
6. NLE Reason: There is only one variable which is x.
7. LE Reason: The two variables are x and y.
8. NLE Reason: There is only one variable which is x.
9. LE Reason: The two variables are x and y.
10. NLE Reason: There is only one variable which is x.
B.
1. 3x + y = 6
(0,6), (2,0), (3, -3)
Checking:
3(0) + 6 = 6✔
3(2) + 6 = 6✔
3(3) - 3 = 6✔
2. 6x + 5y = 30
(0,6), (1⅔,4), (5,0)
6(0) + 5(6) = 30✔
6(1⅔) + 4(4) = 30✔
6(5) + 5(0) = 30✔
3. y = ½x - 1
(2,0), (-2,-2), (-1, -1.5)
0 = ½(2) - 1✔
-2 = ½(-2) - 1✔
-1.5 =½(-1) - 1✔
C.
1. (-4, -5) ✔ Yes
Solution:
6x - 5y = 1
6(-4) - 5(-5) = 1
-24 - -25 = 1
-24 + 25 = 1
1 = 1 ✔ Yes
2. (1, 1) ✔ Yes
6(1) - 5(1) = 1
6 - 5 = 1
3. (5, -2) ❌ No
6(5) - 5(-2) = 1
30 +10 = 1
20 is not equal to 1 ❌ No
4. ( -⅕, 0) ❌ No
6(-⅕) - 5(0) = 1
-1.2 - 0 = 1
-1.2 is not equal to 1 ❌ No
5. (-½, ½) ❌ No
6(-½) - 5(½) = 1
-1.2 - 1 = 1
.2 is not equ to 1 ❌ No
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Answers & Comments
Answer:
The answer itself can be found at the explanation.
Step-by-step explanation:
A.
1. NLE Reason: It is a quadratic equation.
2. LE Reason: The two variables are x and y.
3. LE Reason: The two variables are x and y.
4. NLE Reason: There is only one variable which is y.
5. NLE Reason: A linear equation has only one particular power stated.
6. NLE Reason: There is only one variable which is x.
7. LE Reason: The two variables are x and y.
8. NLE Reason: There is only one variable which is x.
9. LE Reason: The two variables are x and y.
10. NLE Reason: There is only one variable which is x.
B.
1. 3x + y = 6
(0,6), (2,0), (3, -3)
Checking:
3(0) + 6 = 6✔
3(2) + 6 = 6✔
3(3) - 3 = 6✔
2. 6x + 5y = 30
(0,6), (1⅔,4), (5,0)
Checking:
6(0) + 5(6) = 30✔
6(1⅔) + 4(4) = 30✔
6(5) + 5(0) = 30✔
3. y = ½x - 1
(2,0), (-2,-2), (-1, -1.5)
Checking:
0 = ½(2) - 1✔
-2 = ½(-2) - 1✔
-1.5 =½(-1) - 1✔
C.
1. (-4, -5) ✔ Yes
Solution:
6x - 5y = 1
6(-4) - 5(-5) = 1
-24 - -25 = 1
-24 + 25 = 1
1 = 1 ✔ Yes
2. (1, 1) ✔ Yes
Solution:
6x - 5y = 1
6(1) - 5(1) = 1
6 - 5 = 1
1 = 1 ✔ Yes
3. (5, -2) ❌ No
Solution:
6x - 5y = 1
6(5) - 5(-2) = 1
30 +10 = 1
20 is not equal to 1 ❌ No
4. ( -⅕, 0) ❌ No
Solution:
6x - 5y = 1
6(-⅕) - 5(0) = 1
-1.2 - 0 = 1
-1.2 is not equal to 1 ❌ No
5. (-½, ½) ❌ No
Solution:
6x - 5y = 1
6(-½) - 5(½) = 1
-1.2 - 1 = 1
.2 is not equ to 1 ❌ No