Answer:
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.
