Q:

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 = 27​Substituting the value of y = x + 12 in the second  equation, we get:4 x + 2 y = 27​   ⇒ 4 x + 2 (x + 12)  = 27​or, 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.