Solve for the given variable.
a. 4y + 3 = 19

b. 1
2n - 3 = 5

y=4

Step-by-step explanation:

4y+3=19

=4y=19-3

=y=16/4=4

a) y = 4

b) n = 4

Step-by-step explanation:

a) 4y + 3 = 19

Subtract 3 from both sides.

4y = 16

Divide both sides by 4.

y = 4

b) Is the 1 apart of the equation? If not, these are the steps to find n.

2n - 3 = 5

Add 3 to both sides.

2n = 8

Divide both sides by 2.

n = 4

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: 193

explanation:

200-7 = 193