Verified answer

[tex]\displaystyle\bf\\\left \{ {{4x+5y=7} \atop {2x-3y=-2 \ |\cdot(-2)}} \right. \\\\\\+\left \{ {{4x+5y=7} \atop {-4x+6y=4}} \right. \\----------\\11y=11\\\\y=1\\\\2x=3y-2=3\cdot 1-2=3-2=1\\\\x=1:2=0,5\\\\Proverka \ :\\\\\left \{ {{4\cdot 0,5+5\cdot 1=7} \atop {2\cdot 0,5-3\cdot 1=-2}} \right. \\\\\\\left \{ {{2+5=7} \atop {1-3=-2}} \right. \ \ - \ verno\\\\\\Otvet \ : \ (0,5 \ ; \ 1)[/tex]