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Mathematics
mariaespinoza27
Feb 5, 2018, 4:11:10 PM
23

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

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(1) Answers
Gracie216
Feb 5, 2018, 6:50:14 PM

[latex]\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=-\frac{55}{11}[/latex] [latex]y=-5 \\ \\ 2x-5y=7\\ \\2x-5*(-5)=7\\ \\2x+25=7\\ \\2x=7-25[/latex] [latex]2x=-18\ \ /:2 \\ \\ x=-\frac{18}{2} \\ \\x=-9 \\ \\\begin{cases} x=-9 \\ y=-5 \end{cases}[/latex]

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