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

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Question 1153575: I can’t find the x- and y-intercepts of this equation: . 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: and . 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)   (Show Source): You can put this solution on YOUR website!
I can’t find the x- and y-intercepts of this equation:

------------
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(10551)   (Show Source): You can put this solution on YOUR website!

I can’t find the x- and y-intercepts of this equation: . 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: and . 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:  

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