A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[x-7y=33],[7x-7y=21]:} 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.  {:[x-7y=33],[7x-7y=21]:} Add to eliminate  y. Add to eliminate  x. Subtract to eliminate  x. Subtract to eliminate  y.

Bytelearn · Accepted Answer

Analyze Equations: Analyze the system of equations to determine which variable can be eliminated with the least effort. We have the system of equations: 1) x - 7y = 33 2) 7x - 7y = 21 We notice that the coefficients of y in both equations are the same but with opposite signs. This means that if we add the two equations, the y terms will cancel out.Decide Operation: Decide on the operation to perform based on the coefficients. Since the coefficients of y are the same in magnitude and sign, we can add the two equations to eliminate y.Perform Addition: Perform the chosen operation to check if it eliminates the desired variable. Adding the two equations: (x - 7y) + (7x - 7y) = 33 + 21 x + 7x - 7y - 7y = 54 8x = 54 This operation eliminates y, as intended.

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