Answer:
[tex]x=-6,y=-5.5[/tex]
Step-by-step explanation:
Given Equations:
[tex]x - 2y = 5[/tex] equation:1
[tex]-3x + 2y = 7[/tex] equation:2
Adding equation:1 and equation:2
[tex]x - 2y+(-3x + 2y) = 5+7\\\\ x-2y-3x+2y=12\\\\-2x=12\\\\x=-\frac{12}{2}\\\\ x=-6\\[/tex]
Putting value of 'x' in equation:1
[tex]x - 2y = 5[/tex]
[tex]-6-2y=5\\\\-2y=5+6\\\\-2y=11\\\\y=-\frac{11}{2} \\\\y=-5.5[/tex]
[tex]x=-6,y=-5.5[/tex]