![image](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B2%5E%7By-1%7D%3D4%5E%7B0%2C5x%7D%7D+%5Catop+%7Blog_3%287x%2By%29%3D2%7D%7D+%5Cright.+%3C%3D%3E++%5Cleft+%5C%7B+%7B%7B2%5E%7By-1%7D%3D%282%5E2%29%5E%7B0%2C5x%7D%7D+%5Catop+%7B7x%2By%3D3%5E2%7D%7D+%5Cright.+%3C%3D%3E++%5Cleft+%5C%7B+%7B%7B2%5E%7By-1%7D%3D2%5Ex%7D+%5Catop+%7B7x%2By%3D9%7D%7D+%5Cright.+%5C%5C%5C%0A%5Cleft+%5C%7B+%7B%7By-1%3Dx%7D+%5Catop+%7B7x%2By%3D9%7D%7D+%5Cright.+%3C%3D%3E+%5Cleft+%5C%7B+%7B%7By%3Dx%2B1%7D+%5Catop+%7B7x%2Bx%2B1%3D9%7D%7D+%5Cright.+%3C%3D%3E++%5Cleft+%5C%7B+%7B%7By%3Dx%2B1%7D+%5Catop+%7B8x%3D8%7D%7D+%5Cright.%5C%5C%5C+%0A+%5Cleft+%5C%7B+%7B%7By%3Dx%2B1%7D+%5Catop+%7Bx%3D1%7D%7D+%5Cright.%3C%3D%3E++%5Cleft+%5C%7B+%7B%7By%3D2%7D+%5Catop+%7Bx%3D1%7D%7D+%5Cright.)
\left \{ {{2^{y-1}=(2^2)^{0,5x}} \atop {7x+y=3^2}} \right. <=> \left \{ {{2^{y-1}=2^x} \atop {7x+y=9}} \right. \\\
\left \{ {{y-1=x} \atop {7x+y=9}} \right. <=> \left \{ {{y=x+1} \atop {7x+x+1=9}} \right. <=> \left \{ {{y=x+1} \atop {8x=8}} \right.\\\
\left \{ {{y=x+1} \atop {x=1}} \right.<=> \left \{ {{y=2} \atop {x=1}} \right." alt=" \left \{ {{2^{y-1}=4^{0,5x}} \atop {log_3(7x+y)=2}} \right. <=> \left \{ {{2^{y-1}=(2^2)^{0,5x}} \atop {7x+y=3^2}} \right. <=> \left \{ {{2^{y-1}=2^x} \atop {7x+y=9}} \right. \\\
\left \{ {{y-1=x} \atop {7x+y=9}} \right. <=> \left \{ {{y=x+1} \atop {7x+x+1=9}} \right. <=> \left \{ {{y=x+1} \atop {8x=8}} \right.\\\
\left \{ {{y=x+1} \atop {x=1}} \right.<=> \left \{ {{y=2} \atop {x=1}} \right." align="absmiddle" class="latex-formula">