Question

Solve the system:
2x-5y=7
3x-2y=-17

Answer 1

`\begin{cases}2x-5y=7 \ \ /*3 \\ 3x-2y=-17\ \ / *(-2) \end{cases}\\ \\\begin{cases}6x-15y=21 \\ -6x+4y= 34 \end{cases}\\+ \ ------- \\-11y=55 \ \ / :(-11)\\ \\y=-(55)/(11)`


`y=-5 \\ \\ 2x-5y=7\\ \\2x-5*(-5)=7\\ \\2x+25=7\\ \\2x=7-25`


`2x=-18\ \ /:2 \\ \\ x=-(18)/(2) \\ \\x=-9 \\ \\\begin{cases} x=-9 \\ y=-5 \end{cases}`