How do I make the system (y+x/2=8) (2y=-x+16) into slope form (y=mx+b)?

Question

How do I make the system  (y+x/2=8) (2y=-x+16) into slope form (y=mx+b)?

sheraz12345 · Answer

Can u make ur question more clear? Cant understand that system thingy

yttrium · Answer

By equation those systems to y.
Let's take the first example.

anonymous · Answer

Its solving each system by graphing.. so first i have to make the equations into slope form (y=mx+b).

yttrium · Answer

$$y + \frac{ x }{ 2 } =8 $$
Therefore,
$$y = -\frac{ 1 }{ 2 }x + 8$$

anonymous · Answer

How did it become -1/2x+8?

owlcoffee · Answer

well, let's make them individually ito tht form:
for the first equation:
$$y+\frac{ x }{ 2 }=8$$
and sustracting x/2 on both sides:
$$y=- \frac{ x }{ 2 }+8$$

for the second:
$$2y=-x+16$$
dividing both sides by two:
$$y=\frac{ -x+16 }{ 2 }$$
simplifying:
$$y=-\frac{ x }{ 2 }+8$$

yttrium · Answer

By transposin it or like.
$$y + \frac{ 1 }{ 2 }x -\frac{ 1 }{ 2 }x = \frac{ 1 }{ 2 }x + 8$$

yttrium · Answer

Therefore $$y = \frac{ 1 }{ 2 }x + 8$$

anonymous · Answer

Oh ok I get it now. So I guess its the same for the second one. Thanks Guys !