Question

Could you help me how to solve this equations to be able to graph them? #24&28

Answer 1

To graph the functions we first need to isolate the y variable to the left side of the equal sign.

`\begin{gathered} 5-y=-3x \\ -y=-3x-5 \\ y=3x+5 \end{gathered}`

Now we need two points to draw the line. The first one will be calculated with x = 0 and the second one with y =0.

`\begin{gathered} y=3\cdot0+5 \\ y=5 \end{gathered}`

First point: (0, 5).

`\begin{gathered} 0=3\cdot x+5 \\ 3\cdot x=-5 \\ x=(-5)/(3) \end{gathered}`

Second point: (-5/3, 0).

Now that we have the two points we need to represent them on the coordinate plane and draw a line between them.

For the second equation we don't need to isolate the variable, just find the two points. We will once again find the points for x= 0 and y = 0. First point:

`y=8-6\cdot0=8`

The first point (0,8).

`\begin{gathered} 0=8-6\cdot x \\ 6\cdot x=8 \\ x=(8)/(6)=(4)/(3) \end{gathered}`

Second point (4/3, 0).