<span>Simplifying
4(-8x + 5) + -1(-33x + -26) = 0
Reorder the terms:
4(5 + -8x) + -1(-33x + -26) = 0
(5 * 4 + -8x * 4) + -1(-33x + -26) = 0
(20 + -32x) + -1(-33x + -26) = 0
Reorder the terms:
20 + -32x + -1(-26 + -33x) = 0
20 + -32x + (-26 * -1 + -33x * -1) = 0
20 + -32x + (26 + 33x) = 0
Reorder the terms:
20 + 26 + -32x + 33x = 0
Combine like terms: 20 + 26 = 46
46 + -32x + 33x = 0
Combine like terms: -32x + 33x = 1x
46 + 1x = 0
Solving
46 + 1x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-46' to each side of the equation.
46 + -46 + 1x = 0 + -46
Combine like terms: 46 + -46 = 0
0 + 1x = 0 + -46
1x = 0 + -46
Combine like terms: 0 + -46 = -46
1x = -46
Divide each side by '1'.
x = -46
Simplifying
x = -46</span>
Answer:
a) Linear
b) Linear
c) Linear
d) Neither
See explanation below.
Step-by-step explanation:
a) 
For this case the differential equation have the following general form:

Where
and
and since n>1 we can see that is a linear differential equation.
b) 
We can rewrite the following equation on this way:

For this case the differential equation have the following general form:

Where
and
and since n=0 we can see that is a linear differential equation.
c) 
For this case we can write the differential equation on this way:

For this case the differential equation have the following general form:

Where
and
and since n=0 we can see that is a linear differential equation.
d) 
For this case we can't express the differential equation in terms:

So the is not linear, and since we can separate the variables in order to integrate is not separable. So then the answer for this one is neither.
Answer:
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
Step-by-step explanation:
Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.
we can use the formula to find the equation of the line:
y-y1 = m (x-x1)
y1 - y coordinate of a point on the line
x1 - x coordinate of the same point on the line
m - slope
and we get:
y+3 = 1.2 (x-0)
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)