Answer:
The graph in the attached figure
Step-by-step explanation:
we have
-----> equation A
-----> equation B
we know that
The solution of the system of equations is the intersection point both graphs
In this problem
The intersection point is 
therefore
The solution is the point 
using a graphing tool
see the attached figure
y - 6 = 4(1 - 4)
y - 6 = 4 - 16
y - 6 = -12
y = -12 + 6
y = -6
This is a horizontal line through the point (0, -6). See below.
Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1
Answer:
4
Step-by-step explanation:
Divide the total area by the area of a rug to find the number of rugs.
The total area is 36 m²
The area of a rug is 9m²
36m² ÷ 9m² = 4
Therefore 4 rugs are needed to cover an area of 36 square metres.