A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-2x+7y=64],[9x+7y=20]:} Subtract to eliminate x. Add to eliminate y. Subtract to eliminate y. Add to eliminate x.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[-2x+7y=64],[9x+7y=20]:} Subtract to eliminate  x. Add to eliminate  y. Subtract to eliminate  y. Add to eliminate  x.

Bytelearn · Accepted Answer

Analyze Variables: Analyze the system of equations to determine which variable can be eliminated by addition or subtraction. We have the system of equations: -2x + 7y = 64 9x + 7y = 20 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.Choose Operation: Decide on the operation to use for elimination. Since the coefficients of y are the same (7 and 7), we can eliminate y by subtracting one equation from the other.Verify Decision: Perform a quick check to ensure no math error has been made in the decision process. The coefficients of y are indeed the same, and subtraction is the correct operation to eliminate y.

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