If x=2 y=4 a=3 b=6 and c=2 find the value of
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Answer:
Step-by-step explanation:
Given a function:
To find:
Function whose graph is a reflection in the y -axis for the given function = ?
Solution:
First of all, let us learn about the reflection of a point () in y axis.
For example, let us consider a point (3, 2) on the coordinate axis.
The reflection of this point in y axis will be (-3, 2)
OR
In other words, <em>To find the image of a point in y axis</em>:
the x coordinate is made of negative sign and y coordinate remains the same.
A line is nothing but a number of points joined together.
So, if we want to find reflection of a line or linear function in y axis, we just make the sign of x as negative.
Given that
We can write it as:
To find its reflection:
Please refer to the attached graphs of and
.
So, the answer is:
<h3>Answer: (x,y) = (-2, 5)</h3>
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Explanation:
4x-3y = -23 is the same as 12x-9y = -69 when we multiply both sides by 3
-3x-2y = -4 is the same as -12x-8y = -16 when we multiply both sides by 4
Our updated system looks like this
Notice how we have 12x and -12x. They combine to 0x allowing the x terms to go away.
The y terms combine to -9y+(-8y) = -17y and the right hand sides combine to -69+(-16) = -85
After doing those three sets of additions, we get the new equation -17y = -101 which solves to y = -85/(-17) = 5
The last step is to use this y value to find x
4x-3y = -23
4x-3(5) = -23
4x-15 = -23
4x = -23+15
4x = -8
x = -8/4
x = -2
So the solution is (x,y) = (-2, 5)
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Check:
Let's plug the solution into the first equation
4x-3y = -23
4(-2)-3(5) = -23
-8-15 = -23
-23 = -23
We get a true result. Let's do the same for the second equation
-3x-2y = -4
-3(-2) - 2(5) = -4
6 - 10 = -4
-4 = -4
This result is true as well. So we've confirmed both equations to fully confirm the solution of this system.