Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
1 is the given at the top of the question and the reasoning is bec it’s given
Answer:
(-9,-9)
Step-by-step explanation:
B = (-9,-9)
A = (9,-3)
Midpoint M = (0,-6)
Answer:
6
Step-by-step explanation:
(14-2^3)
PEMDAS
Parentheses first
We need to follow PEMDAS inside the parentheses
Since there are no parentheses in side the parentheses, we do expoents
14 - 8
Then subtract
6
The order matters.
You have to follow the order of operations