SOLUTION: I can’t find the x- and y-intercepts of this equation: {{{4y + 5x = 2y - 3x + 16}}}. I have already tried finding the X intercept by replacing all of the Y coefficients in the eq

Algebra ->  Graphs -> SOLUTION: I can’t find the x- and y-intercepts of this equation: {{{4y + 5x = 2y - 3x + 16}}}. I have already tried finding the X intercept by replacing all of the Y coefficients in the eq      Log On


   



Question 1153575: I can’t find the x- and y-intercepts of this equation: 4y+%2B+5x+=+2y+-+3x+%2B+16. I have already tried finding the X intercept by replacing all of the Y coefficients in the equation with 4(0) and 2(0) and, after simplifying everything, I got: -5x= -3x+16. So I did what I thought I should have done, which was dividing -5X by -5 to isolate the variable, and did the same on the other side. But, I am not sure as to where to put the other (divided by -5). So I tried both: %28-5x%29%2F-5=%28-3x%2B16%29%2F-5 and %28-5x%29%2F-5=%28-3x%29%2F-5%2B16%2F-5. The first one resulted in x=0.6x and the second one became x=0.6x-3.2, I think. I don’t know what to do with this, please help.
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I can’t find the x- and y-intercepts of this equation:
4y+%2B+5x+=+2y+-+3x+%2B+16
------------
I would simplify first:
2y + 8x = 16
4x + y = 8
------
For the y-int, x = 0
y = 8, or the point (0,8)
===========
For the x-int, y = 0
4x = 8
x = 2, or the point (2,0)

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

I can’t find the x- and y-intercepts of this equation: 4y+%2B+5x+=+2y+-+3x+%2B+16. I have already tried finding the X intercept by replacing all of the Y coefficients in the equation with 4(0) and 2(0) and, after simplifying everything, I got: -5x= -3x+16. So I did what I thought I should have done, which was dividing -5X by -5 to isolate the variable, and did the same on the other side. But, I am not sure as to where to put the other (divided by -5). So I tried both: %28-5x%29%2F-5=%28-3x%2B16%29%2F-5 and %28-5x%29%2F-5=%28-3x%29%2F-5%2B16%2F-5. The first one resulted in x=0.6x and the second one became x=0.6x-3.2, I think. I don’t know what to do with this, please help.
4y + 5x = 2y - 3x + 16
2y + 5x = - 3x + 16 --- Subtract 2y from each side
2y = - 8x + 16 -------- Subtract 5x from each side
2(y) = 2(- 4x + 8) ---- Factoring out GCF, 2
y = - 4x + 8
As the above is in SLOPE-INTERCEPT form (y = mx + b), we see that b, or the
Substituting 0 for y in the above simplified-equation gives you the x-intercept, as follows: