Answer:
<em>Addition Property of Equality</em>
Step-by-step explanation:
<u>System of Equations</u>
When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.
One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:

If we add both equations, we have

Simplifying

By adding both equations we managed to eliminate the variable y and could easily find the value of x

Answer: Addition Property of Equality
Answer:
- $8000 at 1%
- $2000 at 10%
Step-by-step explanation:
It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.
__
<h3>setup</h3>
Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...
0.10x +0.01(10000 -x) = 280
<h3>solution</h3>
Simplifying gives ...
0.09x +100 = 280
0.09x = 180 . . . . . . . subtract 100
x = 2000 . . . . . . divide by 0.09
10000 -x = 8000 . . . . amount invested at 1%
<h3>1.</h3>
$8000 should be invested in the 1% account
<h3>2.</h3>
$2000 should be invested in the 10% account
Answer:
the carpenter lost 500
Step-by-step explanation:
if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500
I answered this using trial and error, so let me know if you need workings, but I got the dimensions as 18 inches and 13 inches.
I hope this helps!
You just need to add any digit in front of 40,000 for a 6-digit number meeting those requirements.
Hope this helps!