A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-9x-4y=126],[-6x+4y=24]:} Subtract to eliminate y. Add to eliminate x. 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.  {:[-9x-4y=126],[-6x+4y=24]:} Subtract to eliminate  y. Add to eliminate  x. Subtract to eliminate  x. Add to eliminate  y.

Bytelearn · Accepted Answer

Identify Variable to Eliminate: Analyze the system of equations to determine which variable can be eliminated with the least amount of work. We have the system of equations: -9x - 4y = 126 -6x + 4y = 24 We can see that the coefficients of y are opposites (-4 and +4), which means that adding the two equations will eliminate y.Perform Elimination Operation: Perform the operation to confirm that y is eliminated. Adding the two equations: (-9x - 4y) + (-6x + 4y) = 126 + 24 -9x - 4y - 6x + 4y = 150 The y terms cancel out, leaving us with: -15x = 150Verify Correctness of Elimination: Check if the operation performed in Step 2 answers the question prompt. The question prompt asks for the correct first step to eliminate a variable. Since we have successfully eliminated y by adding the two equations, the correct first step is to add the equations to eliminate y.

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