Answer:
(2+1×-3)(x) = 3×(-3)(x) =-9x
Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.
2x-3y=251️⃣
5x+3y=102️⃣
Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:
1️⃣+2️⃣
2x-3y+5x+3y=25+10
7x=35
x=5
Then we can substitute the value of x back into either of the 2 equations.
2*5-3y=25
10-3y=25
3y=-15
y=-5
Then write the 2 answers together.
{x=5
{
{y=-5
Now we can check our answers.
2*5-3*-5=10- -15= 10+15=25 Correct
5*5+3*-5= 25+ -15= 10 Correct
From this we can see that x=5 y= - 5 are the correct answers!
Answer:
The average price of a house last year was = $124,423.96
Step-by-step explanation:
Let the average price of houses in Tennessee last year in dollars be = 
This year the increase percentage in average price was = 8.5%
The change in average price can be calculated in dollars as:
⇒ 
⇒ 
⇒ 
New increased average price in dollars can be calculated as:
⇒ 
⇒ 
The new increased average price actually is = $135,000
So, we have,
Dividing both sides by 1.085
∴ 
Thus average price of a house last year was = $124,423.96
Answer:
slant length (l) = 7.5 m
perimeter of base P = 40 m
area of base B = 100 m^2
Surface Area = 250 m^2
Step-by-step explanation:
Surface area of a pyramid formula
1/2Pl + B
1/2 (40)(7.5) + 100
150 + 100 = 250 square meters
