## Algebra 1

Multiply the first equation by -2. Add the equations. $3x+4y=24\ \ \ \$multiply by -2$\ \ \ \ -6x-8y=-48$ $6x+8y=24\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{6x+8y=\ \ 24}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0=-24$ Since this equation is false, the system has no solution.