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 x
Substituting 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 = 30
Hence, 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 = 12.5
Hence, x = 0.5 , y = 12.5 is the SOLUTION of the given system of equation.
