A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[8x-3y=49],[8x-6y=58]:} 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.  {:[8x-3y=49],[8x-6y=58]:} Add to eliminate  x. Subtract to eliminate  x. Subtract to eliminate  y. Add to eliminate  y.

Bytelearn · Accepted Answer

Given system of equations: We are given the system of equations: $$ \begin{cases}  8x - 3y = 49 \ 8x - 6y = 58  \end{cases} $$ To eliminate a variable, we need to make the coefficients of that variable the same in both equations and then either add or subtract the equations from each other. In this case, the coefficients of $ x $ are already the same in both equations (both are 8), so we can eliminate $ x $ by subtracting one equation from the other.Eliminate variable: Subtract the second equation from the first equation: $$ (8x - 3y) - (8x - 6y) = 49 - 58 $$ $$ 8x - 8x - 3y + 6y = 49 - 58 $$ $$ 0x + 3y = -9 $$ This step eliminates $ x $ and gives us an equation with only $ y $.

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