Question

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Answer 1

Greetings!

Substitute:
$x+y=1000 \\ x=1000-y$
Now we can input this into the other equation so, we only have one variable.

Solve for y.
$0.05(1000-y)+0.06y=57$
Distribute the parenthesis.
$50-0.05y+0.06y=57$
Combine Like Terms.
$50-0.01y=57$
Add -50 to both sides.
$(50-0.01y)+(-50)=(57)+(-50)$
Simplify.
$0.01y=7$
Divide both sides by 0.01.
$(0.01y)/0.01=(7)/0.01$
Simplify.
$y=700$

Input this value into the other equation.
$x+700=1000$
Add -700 to both sides.
$(x+700)+(-700)=(1000)+(-700)$
Simplify.
$x=300$

The answer would be 300,700

Hope this helps.
-Benjamin