Answer:
x=2, y=4
Step-by-step explanation:
When using elimination, the objective is to elimate one variable. In this case, we see that "y" can easily be eliminated by adding the two equations together since you will get 3y + (-3y) which will eliminate y because the value would become 0, letting us solve for x.
Then we get
, because the y's will eliminated, and 8x+7x is 15x, and 28+2 is 30.
Then divide by 15 on both sides and you get x=2
If x=2, then we can substitute that value into any of the previous given equations and find the value of y.
8×2 +3y = 28
16+3y=28
3y=12
y=4
So the answer to your system of equations would be x=2, and y=4
You can substitute the answers we found to see that they satisfy the equation.
Hope this helped.
Answer:
The total cost of the petrol is 2.075 cents.
Step-by-step explanation:
The cost of per gallon petrol = 0.83
Drive per gallon = 8 miles
Here, total distance traveled = 20 miles.
So, the total petrol used for 20 miles = (20 / 8) gallons
= 2.5 gallons
Now, cost of petrol per gallon = 0.83 cents
So, total cost of petrol = 0.83 x 2.5 = 2.075 cents
Hence, the total cost of the petrol is 2.075 cents.
Answer:
In geometry, you can use deductive rules to prove that a given statement or conjecture is true or false using deductive reasoning.
Step-by-step explanation:
Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression 
, 
is the base and the power is 
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
