solve the systems of equations by subsiturion y=x+15y=2xnext questiony=x+124x+2y=27
Accepted Solution
A:
Answer:1) x = 15, y = 30 is the solution of the given system of equation.2) x = 0.5 , y = 12.5 is the solution of the given system of equation.Step-by-step explanation:First QUESTION:Here the given set if equation are:y = x + 15
y = 2 xSubstituting the value of y = 2 x in the first equation, we get:y = x + 15 ⇒ 2 x = x + 15 or, 2 x - x = 15⇒ x = 15⇒ y = 2 x = 2 ( 15) = 30, or y = 30Hence, x = 15, y = 30 is the SOLUTION of the given system of equation.Second QUESTION:Here the given set if equation are:y = x +12
4 x + 2 y = 27Substituting the value of y = x + 12 in the second equation, we get:4 x + 2 y = 27 ⇒ 4 x + 2 (x + 12) = 27or, 4 x + 2(x) + 2 (12) = 27⇒ 6 x = 27 - 24 = 3⇒ x = 3 /6 = 0.5 Now, y = x + 12 = 0.5 + 12 = 12.5 or y = 12.5Hence, x = 0.5 , y = 12.5 is the SOLUTION of the given system of equation.