A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-9x+5y=11],[-9x+2y=-1]:} Add to eliminate x. Subtract to eliminate x. Subtract to eliminate y. Add to eliminate y.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[-9x+5y=11],[-9x+2y=-1]:} Add to eliminate  x. Subtract to eliminate  x. Subtract to eliminate  y. Add to eliminate  y.

Bytelearn · Accepted Answer

Analyze Variables for Elimination: Analyze the system of equations to determine which variable can be eliminated by addition or subtraction. The system of equations is: -9x + 5y = 11 -9x + 2y = -1 We can see that the coefficients of x in both equations are the same (-9) and the coefficients of y (5 and 2) are different. To eliminate x, we can add the two equations together because the coefficients of x are identical and will cancel each other out.Perform Addition to Eliminate x: Perform the addition of the two equations to check if x is eliminated. (-9x + 5y) + (-9x + 2y) = 11 + (-1) -9x - 9x + 5y + 2y = 10 -18x + 7y = 10 This step shows that adding the equations does not eliminate x because we did not consider the signs of the coefficients correctly. We made a math error.

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