Question

What is the answer and work to this problem. 4x+2y=14 2x+y=7

Answer 1

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.