How do you solve the system using the elimination method for 3x+y=5 and x-2y=4?
Here we will use elimination method to solve the given system of an equation.
Note: here we have unequal coefficient for both x and y. So we will first make coefficient of either x or y equal.
Here we well make coefficient of y equal by multiplying equation 1 by 2, we get
Now, we have coefficient of y equal with opposite sign, hence it can be eliminated on addition.
Adding equation 2 and 3, we get
Now divide both side by 7, we get
Plug the value of x= 2 in equation 1, we get
Subtract 6 on both side, we get
Therefore, the final answer is
To check the answer, plug