So I’m not going to solve all of these for you, but let’s break it down.
So for #3 through #8, it wants us to “solve for y”. This just means it wants the equation to say y =. Let’s look at #3
(3) y - 3x = 13
So to solve for y, we will add 3x to both sides to get:
y = 13 + 3x
So for #13 through #18, it wants us to “solve for x”. This just means it wants the equation to say x =. Let’s look at #13
(13) y = 4x + 8x
So to solve for x, we need to combine like terms 4x + 8x = 12x, and then divide both sides of the equation by 12 to get:
x = y / 12
I’ll go ahead and do #8 and #18 to show you a few more examples and then you can handle the rest.
Cheers.
(8) 6x - 3y = -6
“Subtract 6x from both sides of the equation “
-3y = -6 - 6x
“Divide both sides of the equation by -3”
y = 2 + 2x
(18) z = 8 + 6x - px
“Subtract 8 from both sides of the equation”
z - 8 = 6x - px
“Factor out x from the like terms”
z - 8 = x * (6 - p)
“Divide (6-p) on both sides of the equation”
(z - 8) / (6 - p) = x