Algebra

System of Linear Equations

System of Linear Equations - Elimination

         

Solve the following system of equations: {2x+y=74xy=5.\begin{cases} 2x+y=7 \\ 4x-y=5. \end{cases}

Solve the following system of equations: {3x+4y=297x4y=1.\begin{cases} -3x+4y=29 \\ -7x-4y=1. \end{cases}

Let x=a x = a and y=by = b be the solution of the following system of linear equations: xy=7,3x+2y=26.x-y=7,\quad 3x+2y=26. What is the value of a+ba+b?

Given that xx and yy are real numbers satisfying the equations 3x2y=223x - 2y = 22 and 7x+3y=1057x + 3y = 105, what is the value of x+yx+y?

Solve the following system of equations: {6x+2y=428x4y=36.\begin{cases} 6x+2y=42 \\ 8x-4y=36. \end{cases}

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