Solve the system of equations for the variables: 3x+y=7 2x-3y=1 (Hopefully it was easy enough because I'd like to give free points but I'm not allowed to ask really easy questions.)

x = 2, y = 1.

Step-by-step explanation:

3x +  y = 7

2x - 3y = 1

Multiply the first equation by 3:

9x + 3y = 21   Add this to the second equation we get:

11x  + 0 = 22

x = 2.

Substitute this value in the second equation:

2(2) - 3y = 1

-3y =  -3

y = 1.

x = 2

y = 1

Step-by-step explanation:

3x + y = 7

2x - 3y = 1

Solve for y in the first equation.

y = 7 - 3x

Put y as 7 - 3y in the second equation and solve for x.

2x - 3(7 - 3y) = 1

2x - 21 + 9y = 1

11x - 21 = 1

11x = 1 + 21

11x = 22

x = 22/11

x = 2

Put x as 2 in the first equation and solve for y.

3(2) + y = 7

6 + y = 7

y = 7 - 6

y = 1

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3