[tex]x-5y=-4x-2y[/tex]
In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.
[tex]-3-5y=-4(-3)-2y[/tex]
Multiply -4 and -3 in the function above.
[tex]-3-5y=12-2y[/tex]
Add 3 on both sides of the equation.
[tex]-3-5y+3=12-2y+3[/tex][tex]-5y=15-2y[/tex]
Add 2y on both sides of the equation.
[tex]-5y+2y=15-2y+2y[/tex][tex]-3y=15[/tex]
Divide both sides of the equation by -3.
[tex]\frac{-3y}{-3}=\frac{15}{-3}[/tex][tex]y=-5[/tex]
Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.
Answer:
f(-3) = -5
