Question

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

Answer 1

A and C

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