A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[4x+2y=12],[-x+2y=-28]:} Subtract to eliminate y. Add to eliminate x. Add to eliminate y. Subtract to eliminate x.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[4x+2y=12],[-x+2y=-28]:} Subtract to eliminate  y. Add to eliminate  x. Add to eliminate  y. Subtract to eliminate  x.

Bytelearn · Accepted Answer

Identify Coefficients: We have the system of equations: 4x + 2y = 12 -x + 2y = -28  To eliminate a variable, we look for coefficients that are the same or opposites. Here, the coefficients of y are the same in both equations (2 and 2). To eliminate y, we would subtract one equation from the other.Subtract Equations: Subtract the second equation from the first one: (4x + 2y) - (-x + 2y) = 12 - (-28)  This simplifies to: 4x - (-x) + 2y - 2y = 12 + 28Simplify Equation: Simplify the equation: 4x + x + 0 = 40  This further simplifies to: 5x = 40Solve for x: Now we can solve for x: x = 40 / 5 x = 8  However, we do not need to solve for x to answer the question prompt. We only needed to identify the correct first step to eliminate a variable.

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