The system Px = Qy = R and Tx + Uy = V has the solution (2,9), where P, Q, R, T, U and V are not = to 0. Select all systems of equations that have the same solution.

a. Px + Qy = R

(P + T) x + (Q + U) y = R + V

b. Px + Qy = R

(P + 2T) x + Q + 2U) y = R - 2V

c. (T - P) x = (U - Q) y = V - R

Tx + Uy = V

d (T - P) x + (Q + U) y = V - R

Tx + Uy = V

A and C

Step-by-step explanation:

we adjust the question to be solvable;

The system Px + Qy = R and Tx + Uy = V has the solution (2,9), where P, Q, R, T, U and V are not = to 0. Select all systems of equations that have the same solution.

the boldened part is the adjusted sign for the question.

For A;

Px + Qy = R

(P + T) x + (Q + U) y = R + V

expand the second equation and cancel out the result gives the same as the system in the question

For C;

the sign adjusted is the boldened one too

(T - P) x + (U - Q) y = V - R

Tx + Uy = V

expand the first equation and cancel out the result gives the same as the system in the question