1). Since you have -2y and 4y, elimination is easy to do for solving for x..
Keep the first equation and multiply the second equation by 2. Then add.
5x - 2y = -1
8x + 4y = 56
10x - 4y = -2
8x + 4y = 56
-----------------
18x = 54
x = 3
Now we can use substitution to solve for y.
Substitute 3 for x in the first original equation and solve for y.
5x - 2y = -1
5(3) - 2y = -1
15 - 2y = -1
-2y = -16
y = 8
(3, 8)
2.)
3x - y = =16
-4x - y = 21
Multiply both sides of the first equation by -1 to change all signs. Then when you add the equations, you eliminate y and solve for x.
-3x + y = 16
-4x - y = 21
-----------------
-7x = 37
x = -37/7
Now multiply the first original equation by 4 and the second original by 3 to eliminate x and solve for y.
12x - 4y = -64
-12x - 3y = 63
---------------------
-7y = -1
y = 1/7
Solution: (-37/7, 1/7)
2/5 would be closer
since 2/5 is 0.4
and 1/3 is 0.333...
You can draw a number line to see how 2/5 ( 0.4) is closest to 0.39
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let 
the total length of the piece of wire, where 
and 
are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are 
and 
. From statement we find that the sum of the areas of the two squares (
), measured in square centimeters, is represented by the following expression:
(1)
And we expand this polynomial below:
(2)
If we know that 
and 
, then the length of the shorter part of the wire is:
By the Quadratic Formula, we determine the roots associated with the polynomial:
, 
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
Answer:
D) reflection followed by a dilation
Step-by-step explanation:
