Answer:
x=±1.73205i
Explaination
hi! so, yes i do pay attention in class, although i do not understand this equation. May someone please break it down and help m
e? thank you!!✨
1 answer:
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The solutions to the systems of equations are:
1. (2, 3) (see attachment below). [one solution]
2. no solution
3. (3, 13) [one solution]
<h3>Solution to a System of Equations?</h3>The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.
1. Using graph to solve y = 2x - 1 and y = 4x - 5:
The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]
2. Solving using substitution method:
x = -5y + 4 ---> eqn. 1
3x + 15y = -1 ---> eqn. 2
Substitute x = -5y + 4 into eqn. 2
3(-5y + 4) + 15y = -1
-15y + 12 + 15y = -1
-15y + 15y = -1 - 12
0 = -13 (this shows that there is no solution)
3. Using elimination method:
14x = 2y + 16 ---> eqn. 1
5x = y + 2 ---> eqn. 2
1(14x = 2y + 16)
2(5x = y + 2)
14x = 2y + 16 ----> eqn. 3
10x = 2y + 4 -----> eqn. 4
Subtract
4x = 12
x = 12/4
x = 3
Substitute x = 3 into eqn. 2
5(3) = y + 2
15 = y + 2
15 - 2 = y
13 = y
y = 13
The solution is: (3, 13).
Learn more about the solution of a system of equations on:
#SPJ1
Answer: The scale factor is 1.3 .
Step-by-step explanation:
Given: The first hexagon is dilated to form the second hexagon.
The side length of first hexagon=5 units.
The side-length of second hexagon= 6.25 units
When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-
Substitute, y=6.5 and x=5 to find the value of k we get
Hence, the scale factor is 1.3