The answer is A because The Commutative Property of Addition states that no matter how the problem is structured you would still get the same answer and answer A expresses that
Answer:
To get system B, the SECOND equation in system A was replaced by the sum of that equation and the FIRST equation multiplied by FOUR. The solution to system B IS de same as the solution to system A
Step-by-step explanation:
x-y=3 equation 1
-2x+4y=-2 equation 2
so, multiplying by four the equation 1 we have
4x-4y=12 equation 3
later sum equation 3 and equation 2 we have
2x=10
Substitute the given point (3, -2) in each condition
(i) y < -3; y ≤ (2/3)x - 4
-2 < -3 → False
Therefore, it is not a solution.
[Since the values of x and y must satisfy both the conditions, if one of them does not satisfy the condition then it is not necessary to check the other one.]
(ii) y > -3; y ≥ 2/3x - 4
-2 > -3 → True
y ≥ 2/3x - 4
-2 ≥ -2 → True
Therefore, it is a solution.
(iii) y < -3; y ≥ 2/3x - 4
-2 < -3 → False
Therefore, it is not a solution.
(iv) y > -2; y ≤ 2/3x - 4
-2 > -2 → False
Therefore, it is not a solution.
Thereofore, the system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4. Hope it helps you.
First piece is 5.2 cm...and second piece is 1.5 times as long
1.5(5.2) = 7.8 cm <== second piece
