Question

Which system of equations will yield the same solution as the system below? x-y=3 2x-3y=-1

Answer 1

To find the equivalent system, we can multiply and add the equations.

Step-by-step explanation:

To find the system of equations that will yield the same solution as the given system, we need to find an equivalent system. Multiplying the first equation by 2 gives us 2x-2y=6. Adding this to the second equation eliminates the y-term, resulting in 2x-2y + 2x-3y = 6-1, which simplifies to 4x-5y = 5.

Therefore, the equivalent system of equations is:

2x-2y=6

4x-5y=5

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