Question

Can you help me with number 36 I don't understand?

Answer 1

Step-by-step explanation

`\begin{gathered} 1.5x+3y=9 \\ \end{gathered}`

we have the equation of a line, the best way to graph this is:

Step 1

get the slope -intercept form: to do that, isolate y

`\begin{gathered} 1.5x+3y=9 \\ \text{subtract 1.5x in both sides} \\ 1.5x+3y-1.5x=9-1.5x \\ 3y=9-1.5x \\ \text{divide both sides by 3} \\ (3y)/(3)=(9)/(3)-(1.5x)/(3) \\ y=3-(1)/(2)x \\ y=-(1)/(2)x+3 \end{gathered}`

Step 2

now, to graph we need 2 coordinates from the line:

you can choice any input value, for example.

a) when x= 0

`\begin{gathered} y=-(1)/(2)x+3 \\ y=-(1)/(2)(0)+3 \\ y=0+3 \\ y=3 \\ \text{hence, the coordinate is} \\ (0,3) \end{gathered}`

b) when x= 4

`\begin{gathered} y=-(1)/(2)x+3 \\ y=-(1)/(2)(4)+3 \\ y=-2+3 \\ y=1 \\ so,\text{ the coordinate is (4,1)} \end{gathered}`

Finally, draw a lines that passes through the points (0,3) and (4,1)

I hope this helps you