System of Linear Equations entered :
[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :
-6y + 5x = 7 -7y + 6x = 8
Solve equation [2] for the variable x
[2] 6x = 7y + 8
[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]
[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y
[1] y = - 2
// By now we know this much :
x = 7y/6+4/3
y = -2
// Use the y value to solve for x
x = (7/6)(-2)+4/3 = -1
Answer:
To dilate line F by a scale factor of 3 in the center of origin multiply points A and B by 3. For example, Point A(x*3,y*3).
Step-by-step explanation:
Answer:
As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:
A = LW
we then substitute them
34 square feet = x (x/2)
now all we need to do is find x first.
34 square feet = x squared / 2
now do a cross multiplication
68 square feet = x squared
then get the square root of both sides
8.246 feet = x
Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...
W = x/2
W = 8.246 feet / 2
W = 4.123 feet
And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.
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