Question

Solve the following system by substitution. 7x + 2y = 16 –21x – 6y = 24 What is the solution ?

Answer 1

Answer:

no solution

Step-by-step explanation:

x=(16-2y)/7

-21*(16-2y)/7-6y=24

-3(16-2y)-6y

-48+6y-6y=24

-48=24

you can't solve for the variables

Answer 2

There is no solution for given system of equations.

System of equations :

The given equations are,

                      $7x+2y=16\\\\x=\frac{16-2y}{7}$

Another equation is, $-21x-6y=24$

Substitute value of x in above equation.

               $-21(\frac{16-2y}{7} )-6y=24\\\\-48+6y-6y=24\\\\-48\neq 24$

Thus, there is no solution for given system of equations.

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