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