A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-3x+7y=61],[-9x-7y=-13]:} 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.  {:[-3x+7y=61],[-9x-7y=-13]:} Add to eliminate  y. Add to eliminate  x. Subtract to eliminate  x. Subtract to eliminate  y.

Bytelearn · Accepted Answer

Analyze Coefficients: Analyze the coefficients of x and y in both equations. The first equation is -3x + 7y = 61. The second equation is -9x - 7y = -13. To eliminate a variable, we look for coefficients that are the same or opposites. Here, the coefficients of y are 7 and -7, which are opposites.Decide Variable to Eliminate: Decide which variable to eliminate. Since the coefficients of y are opposites, adding the two equations will eliminate y.Perform Addition: Perform the addition to check if y is eliminated. Adding the two equations: (-3x + 7y) + (-9x - 7y) = 61 + (-13) The y terms cancel out: -3x - 9x = 61 - 13Simplify Resulting Equation: Simplify the resulting equation to confirm that y has been eliminated. -12x = 48 This confirms that by adding the two equations, y is eliminated.

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