Solve the system by substitution verify your solution by checking that it satisfies both equations of the system y=2x 3x-y=15

x = 15 and y = 30 is the solution of the given system of equations.

Step-by-step explanation:

The two sets of the equations are  y = 2x and 3x - y = 15

By the method of substitution,

Substitute equation (1):  y = 2x in the equation (2):  3x - y = 15

⇒  3x - y = 15  substitutes  in to 3x - (2x)  =  15

or, x = 15

Since y = 2x   ⇒ y = 2 x 15 =  30

x = 15 and y = 30 is the solution of the given system of equations.

CHECK: Put x = 15 and y = 30 is equation  (2), we get

3x - y  = 3(15) - 30  = 45 - 30  = 15 = Right hand side

Hence the given solution satisfies the equation.

(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

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