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.

step-by-step explanation:

$15 each

step-by-step explanation:

$45/3 children= $15 each