A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[5x-2y=-29],[-5x-5y=85]:} Add to eliminate y. Add to eliminate x. Subtract to eliminate x. Subtract to eliminate y.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[5x-2y=-29],[-5x-5y=85]:} Add to eliminate  y. Add to eliminate  x. Subtract to eliminate  x. Subtract to eliminate  y.

Bytelearn · Accepted Answer

Analyze Variables: Analyze the system of equations to determine which variable can be eliminated with the least amount of work. We have the system of equations: 5x - 2y = -29 -5x - 5y = 85 To eliminate a variable, we look for coefficients that are opposites or the same. Here, the coefficients of x in both equations are 5 and -5, which are opposites.Decide Elimination Operation: Decide on the operation to use for elimination. Since the coefficients of x are opposites (5 and -5), we can add the two equations together to eliminate x.Perform Operation: Perform the chosen operation to check if it eliminates the chosen variable. Adding the two equations: (5x - 2y) + (-5x - 5y) = -29 + 85 5x - 5x - 2y - 5y = 56 0x - 7y = 56 This operation eliminates x, as expected.

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