Answer:
[tex]x=-\frac{28}{3}\\\\y=7[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\left \{ {{-5+2y=9} \atop {3x+5y=7}} \right.[/tex]
You can pply Substitution method:
First you must solve for "y" from the first equation:
[tex]-5+2y=9\\\\2y=9+5\\\\2y=14\\\\y=\frac{14}{2}\\\\y=7[/tex]
Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":
[tex]3x+5(7)=7\\3x=7-35\\\\x=-\frac{28}{3}[/tex]