(05.02) What is the value of the x variable in the solution to the following system of equations? 4x + 2y = 12 x – y = 3
Answer: 6
Step-by-step explanation:
The given system of equations :
\(4x + 2y = 12......(1)\\\\ x -y = 3.....................(2)\)
Multiplying 2 to the both sides of equation (2)
\(2x-2y=6.............(3)\)
Now, Add equation (1) and equation (3), we get
\(6x=18\\\\\rightarrow\ x=\dfrac{18}{3}=6\)
Put x=6 in (2), we get
\(6-y=3\\\\\Rightarrow\ y=6-3=3\)
Hence, the value of the x variable in the solution to the following system of equations =6