Пояснення:

[tex]\displaystyle\\\left \{ {{\frac{2x+5}{3} -\frac{12y+3}{5}=2\ |*15 } \atop {\frac{4x}{5}-\frac{13y+7}{4} =-1\ |*20 }} \right. \ \ \ \ \ \ \left \{ {{5*(2x+5)-3*(12y+3)=3*10} \atop {4*4x-5*(13y+7)=-1*20}} \right. \\\\\\\left \{ {{10x+25-36y-9=30} \atop {16x-65y-35=-20}} \right. \ \ \ \ \ \ \left \{ {{10x-36y=14\ |*16} \atop {16x-65y=15\ |*(-10)}} \right. \\\\\\+\left \{ {{160x-576y=224} \atop {-160x+650y=-150}} \right. \\\\74y=74\ |:74\\\\y=1.\\\\10x-36*1=14\\\\10x-36=14\\\\10x=50\ |:10\\\\x=5.[/tex]

Відповідь: (5;1).