Question

The correct statement about the system of equations:

$2s-\frac{1}{3}t=10$
$5s=t+12-s$ is:

• A. There are infinitely many solutions to the system of equations.
• B. When the system is solved for s, the result is 5.
• C. When the system is solved for t, the result is 6.
• D. There are no solutions to the system of equations.

Answer 1

The correct option is D There are no solutions to the system of equations.

$2s-\frac{1}{3}t=10$

$\Rightarrow 6s-t=30$.........................................................(1)

$5s=t+12-s$

$\Rightarrow 5s+s-t=12$

$\Rightarrow 6s-t=12$.........................................................(2)

by seeing both equation (1) and (2)

The value 6s-t are 30 or 12 are not ones

This is not possible

Then there is no solution to the system of equation.