Determine the solution to the system of equations y+4= 2/3 (x-1) x+2y=3

x = 27/7 and y = -3/7

Step-by-step explanation:

In order to solve this, we will first solve the first equation for y.

y + 4 = 2/3(x -1)

y + 4 = 2/3x - 2/3

y = 2/3x - 14/3

Now we can plug the value of the equation in for y in the second equation and use it to solve for x.

x + 2y = 3

x + 2(2/3x - 14/3) = 3

x + 4/3x - 18/3 = 9/3

7/3x - 18/3 = 9/3

7/3x = 27/3

x = 27/7

Then we can use this value to find the value of y.

x + 2y = 3

27/7 + 2y = 3

27/7 + 2y = 21/7

2y = -6/7

y = -3/7

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.