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

Options:

a.

b.

c.

d

a.

c.

Step-by-step explanation:

Given

--- (1)

--- (2)

Required

Select equations with same solution

Add equation (1) to (2)

--- (1)

--- (2)

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Factorize:

--- (3)

So, a system of (1) and (3) can be represented as:

This means (a) has the same solution.

Another possible solution is as follows:

Subtract equation (1) from (2)

--- (2)

--- (1)

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Factorize

--- (4)

So, a system of (2) and (4) can be represented as:

This means (c) has the same solution.

Options (a) and (c) have the same solution.

2: 10

step-by-step explanation: