#2**+2 **

3x + 4y = 72

To find the y intercept, let x = 0 and we have

3(0) + 4y = 72

4y = 72 divide by 4

y = 18

To find the x intercept, let y =0 and we have

3x + 4(0) = 72

3x = 72 divide by 3

x = 24

CPhill Aug 30, 2018

#4**+3 **

3x+4y=72

I need the x and y intercepts.

\(\begin{array}{|rcll|} \hline 3x+4y &=& 72 \quad & | \quad :72 \\\\ \dfrac{3x+4y}{72} &=& 1 \\\\ \dfrac{3x}{72} + \dfrac{4y}{72} &=& 1 \\\\ \dfrac{x}{\dfrac{72}{3}} + \dfrac{y}{\dfrac{72}{4}} &=& 1 \\\\ \dfrac{x}{24} + \dfrac{y}{18} &=& 1 \\\\ \text{x-intercept}~ = 24, \text{if }~y=0\\ \text{y-intercept}~ = 18, \text{if }~x=0\\ \hline \end{array}\)

heureka Aug 31, 2018