Answer:
see below
Step-by-step explanation:
We want to solve each equation for y, so y must be alone on one side of the equation.
a) 10x + 5y = 20
Subtract 10x from both sides.
5y = 20 - 10x
Place the x term in front to follow y = mx + b form.
5y = -10x + 20
We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide <u>each</u> component by 5.
5y/5 = -10/5x + 20/5
y = -2x + 4
This equation is in slope-intercept form.
b) 3x - 2y = 10 + 4x
We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.
3x = 10 + 4x + 2y
Now we want to isolate y, so subtract 4x from both sides.
3x - 4x = 10 + 2y
Simplify.
-x = 10 + 2y
Isolate y further by subtracting 10 from both sides.
-x - 10 = 2y
Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide <u>each</u> component by 2.
-x/2 - 10/2 = 2y/2
-1/2x - 5 = y
This looks backwards (although it <em>is</em> in slope-intercept form), so let's rearrange it just to make it more clear.
y = -1/2x - 5
This equation is in slope-intercept form.
Hope this helps!
