A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[2x-9y=-59],[6x-9y=-87]:} Add to eliminate x. Subtract to eliminate y. Subtract to eliminate x. Add to eliminate y.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[2x-9y=-59],[6x-9y=-87]:} Add to eliminate  x. Subtract to eliminate  y. Subtract to eliminate  x. Add to eliminate  y.

Bytelearn · Accepted Answer

Identify Variable for Elimination: Analyze the system of equations to determine which variable can be eliminated with the least amount of work. We have the system: {:[2x-9y=-59],[6x-9y=-87]:} To eliminate a variable, we look for coefficients that are the same or opposites. Here, the coefficients of y are the same in both equations (-9 and -9).Choose Elimination Operation: Decide on the operation to use for elimination. Since the coefficients of y are the same, we can subtract one equation from the other to eliminate y.Verify Elimination Process: Perform a quick check to ensure no math errors have been made in the previous steps. We have correctly identified that the coefficients of y are the same and that subtraction is the appropriate operation to eliminate y.

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