Chapter 11.1, Problem 30AYU

To determine

To find: The solution of the given system of equations.

Answer to Problem 30AYU

Consistent; infinitely many solutions.

Explanation of Solution

Given:

$3x-y=7$

$9x-3y=21$

Calculation:

The system of equations is:

$3x-y=7$

$9x-3y=21$

Multiplying the first equation by 3 we get,

$3\left(3x-y\right)=3\left(7\right)$

$9x-3y=21$, which is identical to the second equation.

Thus both the equations are coincident and is equal to the equation $9x-3y=21$.

Hence the given system of equations is consistent and has infinitely many solutions.