We got the value of 
by solving the given equations 
and 
by reduction method.
<h2>
What is reduction method?</h2>
The reduction or elimination approach includes using arithmetic operations between equations to produce equivalent equations with fewer unknowns that are simpler to analyze and evaluate.
Given equations are
.........(1)
...........(2)
We need to find the value of 
Simplifying the given equation (2) and we get
................(3)
Now, substitute the equation (3) in equation (1) and we get
Substitute the value of x in equation (3), we get
Now adding the values of x and y, we get
![\therefore e=\frac{26}{7}+\frac{52}{7}\\\Rightarrow e=-{[\frac{26+52}{7}]\\\Rightarrow e={[\frac{78}{7}]](https://tex.z-dn.net/?f=%5Ctherefore%20e%3D%5Cfrac%7B26%7D%7B7%7D%2B%5Cfrac%7B52%7D%7B7%7D%5C%5C%5CRightarrow%20e%3D-%7B%5B%5Cfrac%7B26%2B52%7D%7B7%7D%5D%5C%5C%5CRightarrow%20e%3D%7B%5B%5Cfrac%7B78%7D%7B7%7D%5D)
Therefore, the value of .
To learn more about reduction method from the below link:
brainly.com/question/13107448
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Answer:
multiply by 3 and divide by 2 to get 6x -y = 12.
Step-by-step explanation:
A standard form equation has mutually prime integers for coefficients, and the leading one is positive. We can get that here by multiplying by 3 (to eliminate the denominator) and dividing by 2 (to remove that common factor). The result is ...
4(3/2)x -(2/3)(3/2)y = 8(3/2)
6x -y = 12
1. Correct. The reflection happens over segment AB and then you translate 6 units to the right and 3 units up. This will move point A to D, B to F, C to E, to have the triangles line up perfectly.
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2. Problem 1 already confirmed the triangles are congruent based on how they line up perfectly. Another way to prove this is to either use the SAS (side angle side) or LL (leg leg) theorem. With SAS, we need a pair of congruent sides and a pair of angles, with the angles between the two sides. The horizontal and vertical sides can be easily measured. The angles between the two sides are 90 degree angles. Because we have right triangles, we can use LL which is really just a special case of SAS.
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3. Segment EF is 5 units. You can use the pythagorean theorem with a = 3 and b = 4 to solve a^2+b^2 = c^2 to get c = 5. Or you can use the fact that BC = 5 is given to us, so EF must also be 5 as well. This is because of the idea that if two triangles are congruent, then their corresponding pieces must be the same as well.
Real world example: imagine having 2 houses that are perfect clones of each other. If this is the case, then surely their front doors would be identical copies as well. In this analogy, a house is a triangle, while the front door is the segment.
Answer:
1). 25% percentage increase
2). 75% percentage decrease
Step-by-step explanation:
1.
Amount of change =30-24=6
Original amount = 24
This means there is a percentage increase of 25%
2.
Amount of change =4-16=-12
Original amount=16
This means there is a percentage decrease of 75%
