A system of equations is shown below: x + y = 3 2x − y = 6 the x-coordinate of the solution to this system of equations is _____
1 answer:
Answer:
The x-coordinate of the solution to this system of equations is 3
Step-by-step explanation:
Given the system of equations:
....[1]
....[2]
Add equation [1] and [2] we have;
Simplify:
Divide both sides by 3 we have;
x = 3
Substitute in [1] we have;
3+y = 3
⇒y = 0
Solution for the given system of equation is= (3, 0)
Therefore, the x-coordinate of the solution to this system of equations is 3
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Answer:
84 sq meters
Step-by-step explanation:
1. Approach
In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.
2. Area of Region 1
As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.
Length * width
6 * 3
= 18
3. Area of Region 2
In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.
Length * width
= 12 * (8 - 3)
= 12 * 5
= 60
4. Area of Region 3
In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.
Length * width
= 2 * 3
= 6
5. Total area
Now add up the area of each region to find the total rea,
(Region 1) + (Region 2) + ( Region 3)
= 18 + 60 + 6
= 84
