A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[7x+9y=-66],[-7x+3y=6]:} 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.  {:[7x+9y=-66],[-7x+3y=6]:} Add to eliminate  x. Subtract to eliminate  x. Subtract to eliminate  y. Add to eliminate  y.

Bytelearn · Accepted Answer

Identify Variable for Elimination: Analyze the system of equations to determine which variable can be easily eliminated. We have the system of equations: 7x + 9y = -66 -7x + 3y = 6 To eliminate a variable, we look for coefficients that are opposites or the same. Here, the coefficients of x are 7 and -7, which are opposites. This means that adding the two equations will eliminate x.Choose Operation for Elimination: Decide the operation to eliminate x. Since the coefficients of x are already opposites, we can add the two equations to eliminate x. 7x + 9y = -66 -7x + 3y = 6 Adding these equations will give us: (7x - 7x) + (9y + 3y) = -66 + 6 0x + 12y = -60 This eliminates x and simplifies to 12y = -60.

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