Answer:
x = 4, y = 1 is the solution of the given system of equation.
Step-by-step explanation:
Here, the given set of equations is:
3 x + 2 y = 14
x + y = 5 ⇒ y = 5- x
Solve the given system by SUBSTITUTION METHOD:
Substitute the value of y = 5- x in 3 x + 2 y = 14 , we get
3 x + 2 y = 14 ⇒ 3x + 2 (5- x) = 14
or 3 x - 2x + 10 = 14
⇒ x = 10+ 14 = 14 - 10
or, x = 4
Now, y = 5 - x = 5- 4 = 1
Hence, x = 4, y = 1 is the solution of the given system of equation.
