A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[-2x-10 y=0],[6x-10 y=80]:} Subtract to eliminate x. Add to eliminate y. Subtract to eliminate y. Add to eliminate x.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[-2x-10 y=0],[6x-10 y=80]:} Subtract to eliminate  x. Add to eliminate  y. Subtract to eliminate  y. Add to eliminate  x.

Bytelearn · Accepted Answer

Given System of Equations: We are given the system of equations: {-2x - 10y = 0, 6x - 10y = 80} To eliminate a variable, we need to look for coefficients that are the same or opposites. Here, the coefficients of y are the same in both equations (-10y and -10y). Therefore, we can eliminate y by adding the two equations together.Eliminating a Variable: Let's add the two equations: (-2x - 10y) + (6x - 10y) = 0 + 80 Combining like terms, we get: (-2x + 6x) + (-10y - 10y) = 80 4x + 0y = 80Adding Equations: Since the y terms have been eliminated, we are left with an equation in one variable: 4x = 80 This confirms that adding the two equations was the correct first step to eliminate y.

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