The given system of equation has no solution.
Step-by-step explanation:
step 1 :
The given equations are 4x + 2y = 14 and 2x + y = 7.
step 2 :
Let 4x + 2y = 14 be the first equation.
Let 2x + y = 7 be the second equation.
The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.
step 3 :
In first equation taking 2 out as a common factor on both sides, the equation becomes:
2 (2x + y) = 2 (7)
So, the first equation resembles the second one.
step 4 :
Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.
