What is the value of x in the solution to this system of equations?
3x = 2y + 14
y = -6x + 18

x = 10/3

Step-by-step explanation:

1.Arrange both equations so that the constant is isolated

3x - 2y = 14

6x + y = 18

2. Multiply both sides of first equation by a value that will cancel out a variable when added to the second equation

(-2) 3x - 2y = 14 (-2)

-6x + 4y = -28

3. Add both equations together

  -6x + 4y = -28

+  6x  +  y   =  18

    0x + 5y  = -10

4. Simplify

5y = -10

y = -2

5. Substitute y-value into one of the original equations to solve for x

3x = 2y + 14

3x = 2(-2) + 14

3x = -4 + 14

3x = 10

x = 10/3

yes yes yes yes yes yes yes yes yes

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2