Question

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

Answer 1

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

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.