Answer:
[tex](x,y)=(\frac{25}{9},-\frac{5}{9} )[/tex]
Step-by-step explanation:
[tex]\left \{ {{x+y=-x+5} \atop {-4y=-x+5}} \right.[/tex]
Simplify the expressions
[tex]\left \{ {{2x+y=5} \atop {x-4y=5}} \right.[/tex]
Multiply both sides by -2
[tex]\left \{ {{2x+y=5} \atop {-2x+8y=-10}} \right.[/tex]
Eliminate one variable by adding the equations
[tex]9y=-5[/tex]
Divided both sides by 9
[tex]y=-\frac{5}{9}[/tex]
Substitute the value of y into the equation
[tex]2x-\frac{5}{9} =5[/tex]
Solve the equation
[tex]x=\frac{25}{9}[/tex]
A possible solution is
[tex](x,y)=(\frac{25}{9} ,-\frac{5}{9} )[/tex]
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