Answer:
[tex](x,y)=(-\frac{122}{5}, 16)[/tex]
Step-by-step explanation:
Substitute the value of y
[tex]\left\{{{y=16} \atop {-5x-7y=10}}\right.[/tex]
Solve the equation
[tex]-5x-7*16=10[/tex]
A possible solution is
[tex]x=-\frac{122}{5}[/tex]
Check the solution
[tex](x, y) = (-\frac{122}{5}, 16)\\[/tex]
Simplify
[tex]\left \{ {{-2+16=14} \atop {-5*(-\frac{122}{5})-7*16=10}} \right.[/tex]
The ordered pair is a solution
[tex]\left \{ {{14=14} \atop {10=10}} \right.[/tex]
