Find the solution to the following system using substitution or elimination
y=2x+6
y=-3x+11
a.(1,8)
b.(17/5,4/5)
,-8)
,4)

x = 1 , y = 8  thus: A. is your answer

Step-by-step explanation using substitution:

Solve the following system:

{y = 2 x + 6

y = 11 - 3 x

Hint: | Perform a substitution.

Substitute y = 2 x + 6 into the second equation:

{y = 2 x + 6

2 x + 6 = 11 - 3 x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = 2 x + 6

2 x + 6 = 11 - 3 x

Hint: | Isolate x to the left hand side.

Subtract 6 - 3 x from both sides:

{y = 2 x + 6

5 x = 5

Hint: | Solve for x.

Divide both sides by 5:

{y = 2 x + 6

x = 1

Hint: | Perform a back substitution.

Substitute x = 1 into the first equation:

{y = 8

x = 1

Hint: | Sort results.

Collect results in alphabetical order:

{x = 1 , y = 8

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.

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76